Marley is warning Scrooge Essay

Charles Dickens wrote A Christmas Carol in October 1843. It was the voice of the poor in London at that period. There was a great divide between the classes, Dickens wrote a Christmas Carol so that his readers could learn about the class divide and the suffering of the poor in London; Dickens shows the contrast very well in A Christmas Carol. Dickens came from a family who experienced debt. Charles’ younger years where evidently very hard, although he quoted that himself and his family ‘loved Christmas and celebrated it with a smile’, even thought he family lived on a low wage. When Dickens started to write A Christmas Carol he often walked the streets of London gathering ideas and looking at the poor people living in their slums. There is no doubt that Dickens’ life encouraged him to write A Christmas Carol, his father was thrown in prison for being in debt and Charles had to work at a boot blackening factory on the banks of the Thames. In A Christmas Carol we meet Scrooge ‘a tight fisted’ and very rich man, who lived life on as little as possible so not to ‘waste his well earned money’. In a Christmas carol he is a caricature – the worst possible person anyone could have met. Dickens lists negatives in the story to display the kind of man he is; Scrooge was a â€Å"squeezing, wrenching, grasping, scraping, clutching, covetous old sinner† Dickens also uses similes to describe him through out the book, it begins on a simile as ‘dead as a door nail’ this is a clichi d simile – a simile that is constantly used in common vocabulary. Dickens used a clichi because the poor and uneducated would have recognised and enjoyed his language, and the wealthy would realize the unarguable nature of the fact. He also uses then to describe Scrooge he was â€Å"as solitary as an oyster† he refuses to speak with anyone long terms at the start of the book, Dickens writes that â€Å"even blind mans dogs even hide form him†, backing up that scrooge was a caricature. Scrooge plays the part of the upper classes in London, not noticing the divide in society. The upper classes believed that the poor where too lazy to work. Therefore the Victorians created workhouses – a place where the poor worked for a bed and food for them self and their families. These places were help slightly by the work of the philanthropists. Scrooge also does not like philanthropists – people who want to collect money to help the poor â€Å"are there no prisons? † asked Scrooge. â€Å"The Treadmill and the Poor Law are in full vigour, then? † said Scrooge. â€Å"Both very busy, sir. † This show that Scrooge considers money over human welfare, and that he does not want to learn about the plight of the poor; this reflects the views of many wealthy businessmen of the day. â€Å"I’m very glad to hear it† answers Scrooge to help the philanthropists regarding the workhouse. â€Å"Many can’t go there; and many would rather die. † This depicts the truly callous side to the class division. â€Å"If they would rather die,† said Scrooge, â€Å"they had better do it, and decrease the surplus population†. The poor law was the only way of collecting money for the poor, and this tax was so very little that it hardly helped any of the poor or needy. The first ghost Scrooge is haunted by is that of his old business partner Jacob Marley. He warns of three other ghosts that will haunt Scrooge in the coming night. Jacob and Scrooge ran the business of loan agents their aim was to target the poor people of London lending them large amounts of money, money these people could ill afford and when the deadline came to pay him back; and may couldn’t they where thrown into prison and their belongings sold. Marley wore chains â€Å"I wear the chain I forged in life,† said Marley â€Å"I made it link by link, and yard by yard; I girded it on of my own free will, and of my own free will I wore it†. Marley wore the chains because of every bad thing he did in his lifetime another link was added to the chain. This shows us that Marley was not a kind person. â€Å"Is its pattern strange to you? † The ghost questions Scrooge. Marley is warning Scrooge that when he dies he shall have a chain of his own due to all his bad deeds. Marley states that making money was his business â€Å"mankind was my business† At one o’clock, the ghost appears, the features of the ghost were ever changing an old man a young child. This portrays the two ages that would suffer the most at Christmas time; it also shows the in fluctuation between past – Scrooges youth and the present -Scrooge nowadays.

Modern Business Statistics with Microsoft excel Essay

When are you entitled to deduct interest? If you run a business in part of your home, you are entitled to deduct part of the interest on money you borrowed to buy your home if: part of your home is set aside exclusively as a place of business and is clearly identifiable as such, and that part of the home is not readily adaptable for private use, for example, a doctor’s surgery located within a doctor’s home. If you rent out part of your home with access to general living areas on an arm’s length basis, you are entitled to deduct part of the interest on money borrowed to buy the home (see Taxation Ruling IT 2167). In these situations you would satisfy the interest deductibility test. This means you would not obtain a full main residence exemption and so would have to pay tax on part of any capital gain made when you sell your home. You may satisfy the interest deductibility test even if you didn’t borrow money to acquire your home – you must apply it on the assumption that you did borrow mon ey to acquire it. You also satisfy the test if you were entitled to claim a deduction for the interest, even if you didn’t actually claim the deduction. There is a special rule to work out the amount of your capital gain or loss if you first use your home to produce income in a way that satisfies the interest deductibility test after 20 August 1996. Last Modified: Tuesday, 30 June 2009 Main residence exemption – the effect of using your home to produce income Where you first use your home to produce income after 20 August 1996 If you start using your home to produce income (in a way that would satisfy the interest deductibility test) for the first time after 20 August 1996, there is a special rule for working out your capital gain or loss. In this case, you are taken to have acquired your home at its market value at the time it is first used to produce income if all of the following apply: you acquired the home on or after 20 September 1985Â  you first used it to produce income after 20 August 1996 Â  you would get only a part exemption because the home was used to produce assessable income during the period you owned it, and you would have been entitled to a full exemption if you had sold the home immediately before you first used it to produce income. The effect of this rule applying is that the period before the home is first used by you to produce income is not taken into account in working out the amount of any capital gain or loss . The extent of the exemption for the period after the home was first used to produce income depends on the proportion of the home used to produce income. Example: Home first used to produce income after 20 August 1996 Louise purchased a home in December 1991 for $200,000. The home was her main residence. On 1 November 2001 she started to use 50% of the home for a consultancy business. At that time the market value of the house was $220,000. She decided to sell the property in August 2002 for $250,000. The capital gain is 50% of the proceeds less the cost base. Percentage of use X (proceeds – cost base) = capital gain 50% X ($250,000 – $220,000) = $15,000 Louise is taken to have acquired the property on 1 November 2001 at a cost of $220,000. Because she is taken to have acquired it at this time, Louise is taken to have owned it for less than 12 months and therefore cannot apply the indexation or discount method to calculate her capital gain.

Text messaging and the positive effects on literature Essay

Text messaging and the positive effects on literature - Essay Example Some even stated that they extensively text message on a regular basis. When those young adolescents spoke up regarding the use of cell phones, we were not surprised when they stated that they are using text messages as a primary form of communication between friends and family. According to the Mobile Life Report, 52% of children consider text messaging their number one form of communication with their friends. (Dunstone, 2008) Another factor driving the widespread adoption of cell phone use is parents want their children to carry cell phones for safety reasons. In fact, parents often object to school policies that ban cell phones, staging rallies and threatening lawsuits (Wallace, P., 2011). So with such a wide spread implementation of cell phones being purchased by parents for their children, why is it so hard to understand that children and adults are going to be using mobile devices as a primary form of communication? As you will see in this paper, using cell phones can actually improve the literacy of the users when text messages are the primary source of communication used. Even though text messaging can cause children and adults to use the abbreviated text spelling, text messaging its the largest form of communication for children and adults alike. Some studies have evidence that suggests that text messaging is positively affecting literacy skills in adults and children around the world. As many parents and teachers know, keeping an adolescent focused on learning to read is a daunting task. According to the Institute of Education Science, school, districts had total expenditures of approximately $596.6 billion in 2007–08 in the United States. How much of that money goes into programs that are designed to keep young adolescents focused and motivated to learn? Why are the schools not using all the mobile technology at their fingertips? Students enjoy learning as

Starbucks Essay Example | Topics and Well Written Essays - 750 words - 1

Starbucks - Essay Example Other countries where Starbucks has opened several stores include Canada, where it operates 1,248 and Japan where Starbucks has 965 stores (Garza par. 1). Industry Starbuck Corporation deals with the sales of drip brewed coffee, hot drinks of espresso, coffee beans, hot and cold drinks, sandwiches, salads, sweet pastries, Panini, snacks and other items such as tumblers and mugs. In addition, Starbucks sells coffee and ice cream at its grocery stores (Stevens and Loudon, 2005). As aforementioned, Starbucks is currently the largest coffee company and chain in the world operating more than 20,000 stores in 62 countries. Starbuck also stands out as one of the major employer company in the world with more than 149,000 employees. In addition, the company has over 4 million followers on Twitter plus 34 million likes on Facebook (Garza par. 3). Regarding growth, Starbucks currently operates at a mature stage of its lifecycle. Since its founding more than 2 decades ago, the company has experi enced rapid growth since its formation. Nevertheless, the growth prospects have significantly slowed down in recent times, which have even forced it to close some of its chains. Starbucks is currently focusing its efforts on its earlier endeavors and internationalization (Allison 4). Starbuck’s Mission Statement Starbuck’s mission statement is more than just words. ... Starbuck’s Sales History Starbuck has always registered increased sales over the last two decades of its existence. With a market capitalization worth $50 billion, the company has always been able to register increased sales, thanks to its quality coffee, which continue to attract more customers. In the year 2012, for example, the company registered $13 billion in sales (Murphy par. 3). Target Markets Starbuck has a very diverse market with segments varying depending on the different products that the company offers. However, in general terms, Starbuck’s target market comprises of the coffee drinkers throughout the country. Starbuck also targets mainly men and women aged between 18 to 35 years since they form about 40% of the total market. Most of the company’s customers reside in cities and suburban areas. Starbuck’s target market also comprises of university faculty members and students, as well as individuals working in managerial, professional, and exe cutive positions. Further, the company also targets people with earning relatively higher incomes, since the company’s products are more expensive than other coffee shops such as Tim Hotton and Coffee Times (Murphy par. 5). Competitive advantage Starbuck’s competitive advantage is based on the company’s strengths. These include the premium quality of its coffee drinks and other products that it offers. Starbuck also provide its customers with a brand experience that goes beyond the products that it deals with, including excellent customer service, peculiar drink names, and elegant looking stores that serves as an excellent meeting point. The company also gives back to the community and protects the environment through corporate social responsibility. In addition, the company has strong personnel

Ethical case study Essay Example | Topics and Well Written Essays - 2000 words

Ethical case study - Essay Example Airport records show that flight controllers had told the pilots to use runway 22, which is nearby runway 26 which they used, something that pilots claim occurs commonly whenever there is reduced visibility. The aim of this report is to identify management, engineering, regulatory, socio-technical and ethical issues that culminated in the accident, and make appropriate recommendations mainly based on engineering ethics considerations. Since it is impossible to determine a single factor that resulted in the crash of Flight 5191, the NTSB should look at all the components of the system that were not functioning at their optimal level, and single them out for improvement, starting with the ones that have the most effect. For instance, any design errors of the airport and management issues among other factors. Engineering Issues. All the airports that these accidents occur have a similar design, showing a lack of concern by engineers or incompetent since the designers have not modified or improved the design despite its predisposition to result in accidents. Runways of different lengths and meant for different plane sizes are built close to each other, making it difficult for pilots to pick the one they have been cleared for takeoff. To make matters worse, there is an unusually short distance to the runway from the airport terminal, such that pilots do not have adequate space to negotiate their planes safely. In addition, these airports are exceedingly complex, and the runway maps provided to pilots are inaccurate; such that a pilot has to use personal judgment when navigating through the runways. In addition to using a single runway for multiple destination flights, the airport managements allow the use of runaways as a taxiway, making a poor situation even worse (Federal Aviation Author ity vii). Management Issues. The management of Blue Green Airport failed in some aspects of its duties, which

Organizational profile Essay Example | Topics and Well Written Essays - 500 words

Organizational profile - Essay Example The Congress’ purpose behind the organization of FEMA is to work systematically by providing needed help to state and local governments in fulfilling their responsibilities toward the communities in distress. FEMA helps in making comprehensive disaster management plans. Different government agencies vide Executive Order 12127 were merged by the then President, Jimmy Carter in 1979 to perform different disaster management functions. The agencies absorbed in FEMA included the Federal Insurance Administration, the National Fire Prevention and Control Administration, the National Weather Service Community Preparedness Program, the Federal Preparedness Agency of the General Services Administration, the Federal Disaster Assistance Administration activities from HUD, and Civil defence responsibilities were also shifted to the new agency from the Defence Departments Defence Civil Preparedness Agency (FEMA, 2013). FEMA Corps, yet another partnership between FEMA and the Corporation for National and Community Service (CNCS) was formed on March 13, 2012 by the White House with FEMA dedicated staff strength of 1,600 corps members within AmeriCorps National Civilian Community Corps (NCCC), singularly for disaster readiness, action, and loss recovery (FEMA, 2013). The social initiative of this partnership is to boost the government’s disaster management calibre, heighten the dependability and variance of the disaster workforce, encourage the morality of service, widen education and economic uplifting of the adult population, and attain major cost-efficiencies for the American tax-payer. This program at its total functionality in an average disaster year provides a tax-saving of nearly $60 million a year (FEMA, 2013). When it comes to moral or ethical effects of FEMA’s social initiatives, the workforce focuses more on vulnerable communities – the poor and the marginalized who are at a greater risk

Multi-family Affordable Housing Developments Research Paper

Multi-family Affordable Housing Developments - Research Paper Example Before analyzing several studies that indicate these findings, it is important to take a look at the background of the problem. At the dawn of the twenty-first century, the United States was in an era of previously unknown prosperity. Per capita income, stock prices and unemployment rates were at their best levels in the country's history; however, there was not enough affordable housing for those sectors of the population that needed it. Victoria Basolo wrote, â€Å"Because of cuts in federal spending on housing, paired with spiking home values in major cities due to the period of prosperity, those at the poorest end of the spectrum began to suffer† (445). Prices for rent soared; certainly, the poorest suffered the most as leases came up for renewal, which altogether led to a major housing affordability crisis (Basolo 451). According to Ma Thi Nguyen, â€Å"[a]stounding numbers of extremely low- and very-low-income households having 'severe housing problems'...spurred a plea to the building community to look beyond making a profit† (Ma Thi Nguyen 16). Another factor in this crisis was the opposition that began to build in communities throughout the nation toward the construction of new affordable housing units. ... What this meant that people who needed affordable housing were not able to find the shelter they deserved, even though they were willing to work hard and contribute to the economy. Before going into detail on some of the studies, it is worth taking the time to discuss the meaning of the term â€Å"affordable housing.† This can have many different connotations, but when it comes up in the context of the decline of property values and the â€Å"NIMBY† issue, the aesthetic considerations of the unit, or the physical structure, come into question. For those who oppose affordable housing, they think of it as a separate form of living space. However, within the academic community, when the term â€Å"affordable housing† comes up, it has much more to do with the ability of people to afford to live in that house. According to HUD, housing is affordable if a household does not have to pay more than 30 percent of yearly income to live there. This term has some fluidity, th ough, as there are people at many different points on the socioeconomic spectrum who pay more than 30 percent of their income for rent or mortgage payment, and so there must be some combination between that 30 percent line and having a low income. Several different types of studies have looked at this issue. The earliest studies that analyzed the effect of affordable housing on property values utilized a test versus control area methodology, and took place in the late 1980s. This paradigm involves finding neighborhoods that have units of affordable housing and comparing them with neighborhoods that are similar in terms of a number of characteristics but do not have affordable housing units. The relative property values are calculated to determine

The failure of Ralph Lauren Rugby Essay Example | Topics and Well Written Essays - 2250 words

The failure of Ralph Lauren Rugby - Essay Example Though Ralph Lauren is one of the most preferred luxury clothing brands, customer segmentation was completely different for its new arm. This had not only created confusion among customers, but also dissolved the overall brand identity of the Rugby brand. The objective of the current report is to analyze the failure of Ralph Lauren Rugby, an extended sports clothing line of the brand. On November 2012, the Rugby line of the brand had come to an end. Subsequently, website of the line was also closed down and the links were automatically directed to the parent site of Ralph Lauren. Known for high-end, bold and sassy styles, Ralph Lauren Corporation is one of the finest clothing retail organizations. The luxury retail chain was started in the year 1967 by Ralph Lauren, when he was funded by a manufacturer of clothing lines. He was asked to launch a line for men’s ties with the brand name, Polo. While studying in high school, Ralph had already started selling ties. Following that, he was approached by Norman Hilton and in the year 1969, he opened his first boutique in Manhattan (Ralph Lauren, 2014). The business was further expanded by selling tailor made women suits. The first solo shop was opened in the year 1971 in Beverly Hills. Ralph Lauren gained global recognition in a very short time period and by 1981, he was able to open his maiden international shop in London (Ralph Lauren, 2014). The brand has now expanded in various apparel and accessories sections, such as, semi-formal and formal clothing, luxury wear, fragrances, accessories and furniture. The brand has also ventured into restaurant business by opening a high-end restaurant in Chicago. The purpose of this report is to analyse various situations under which the sports arm of Ralph Lauren was pulled out from the market. Launched in the year 2004, Rugby Ralph Lauren was a famous clothing brand of America. The brand focused on preppy or rugby inspired apparels for women and

Sustainable supply chain management discussion Essay

Sustainable supply chain management discussion - Essay Example These parties also happen to be in different countries with different modes of communication (language barrier), time zone, as well as geographical difference (Albrecht 2010). In a situation of this nature, the traditional systems of communication have proven clumsy and highly inefficient to handle the dynamics that has faced businesses. In this regard, there are three approaches in the supply chain management that has proven worthwhile in the life of a business that is collaboration; the supply planning collaboration, Materials planning collaboration, and advanced PO collaboration (Albrecht 2010). In the collaborative relationship, several issues of interest to the companies have been expressed in the pursuit of the collaborative aspect with the various partners concerned. Improvement of the supply chain management can be improved by liaising with the supplier prior to purchase. It has been proven that this kind of collaboration with the suppliers is a recipe for taking the supply c hain of a business to a higher level- it makes response be swift while at the same time significantly reducing the lead times (Ayers 2006). In the collaborative chain management, companies have also devised several method of creating binding linkages with the suppliers by directly assisting the suppliers with technical knowhow and awards so that they can use those practice that can improve their level of production. In this sense, the companies have also entered into long-time agreement with the suppliers so that they cushion themselves from the shock of demand and supplies are presented in nature of business. In this case, we find multinational companies like McDonald collaborating with farmers in countries where they do business for the sole purpose of ensuring that the supply chain is efficient and stable (Ayers 2006). The collaborative approach in the supply chain management comes with a number of benefits both to the company and to the suppliers. It is a common knowledge that i n an economy where there is a tight competition, means of securing unrivalled account is impossible. The result of this situation is that the suppliers are programmed to specific customers and this is also pegged on the value that their target customers give visa vis their competitors. In this case, it should be noted that price alone in the end is not the only competitive criteria and in a collaborative case, there are more things that comes into play than just the price alone (Bevilacqua, Maurizio, and Ciarapica 2012). A case in point is; you engage in a business with a customer who will drop you after a season for another because of the price factor, you are likely to face many dynamics to regain stability of the customers base. This informs on the benefits one can accrue by entering into collaboration, it ensures that the supply chain management becomes predictable. With little regard to the price alone, value and delivery consistency is also achieved in the latter (McClellan 20 07). In addition, it should be noted that collaboration in the supply chain management has a positive effect on the reduction of cost both to the supplier and to the customer. It will be acknowledged that in the initial year assuming that the a company wants to enter into agreement with a supplier, there are many legalities and procedure that has to be followed and met, all these are added cost to the business and to the suppliers. During the beginning of the relationship, much inefficiency comes with first time engagement

Applying to the Bucharest Academy of Economic Studies Personal Statement

Applying to the Bucharest Academy of Economic Studies - Personal Statement Example The most memorable of these voluntary activities were participating in the Youth for Youth Foundation, being a delegate in for the European Youth Parliament, and taking part in the Junior Achievement Young Enterprise. As a result of my voluntary activities, I have been awarded a number of certificates among which are those related to the economy and social responsibility. I have also been an active participant in school Olympiads the most noteworthy of which were in English, Sociology, and Psychology. Moreover, since I was a child, I have always had a competitive spirit and this inspired me to participate in a number of sporting competitions, and most recently, I was a part of my high school handball team for four years. At the Bucharest Academy of Economic Studies, I intend to register for a diverse number of extracurricular activities in order to ensure my personal development. Among these is taking part in competitions, taking on voluntary activities, as well as participating in e xchange programmes so that I can broaden my horizons concerning other institutions of learning. It is my belief that at the Academy, I will be able to not only become a part of an institution with a long history of academic excellence but also have an opportunity to interact with a diverse number of people from different backgrounds. These interactions will enable me to become more effective in my professional life while at the same time helping me to develop into a more responsible global citizen.

Greed of Capitalists Essay Example for Free

Greed of Capitalists Essay In The Grapes of Wrath, the author, John Steinbeck utilizes intercalary chapters to portray the calamity and desolation that wandering farmers faced in Oklahoma during the Great Depression. Steinbeck employs chronic symbols, motifs, and specific narrative intervals to connect each intercalary chapter with its neighboring narrative counterparts in order to unify and strengthen the dominant themes of the novel. The intercalary episodes highlight perseverance of the Okies, the greed of capitalists, and the inhumanity of many who belittle the displaced families from Oklahoma. Despite the predicament of the meager farmers, Steinbeck provides his readers with a sense of hope through the respect for survivors and the tough pioneer spirit. Steinbeck highlights the perseverance of the Okies, in Chapters One and Three, through the turtle’s continuous struggle across the highway and the men’s resilient attitudes following tragedy. The turtle represents all the migrant workers that are evicted from their homes and fall victim to the hostile environment yet continue to persist through their journey, especially the Joads. The turtle in its attempt to make it through life â€Å"[boosts] and [drags] his shell along† representing the slow but determined traveling of the workers. In the same way that life becomes more difficult for the Okies, the hills get steeper for the turtle and â€Å"more frantic† grow its efforts (15). The Joads’ strong willed determination to make it to California provides a sense of hope that although it will be difficult and some person seeking the enjoyment of mocking one who is worse off than he is, may â€Å"[swerve] to hit [them]† their fortitude will result in triumph. In Chapter One the winds come and dust covers the lands demolishing all the crops. The women and children looked to see if the men would â€Å"break† knowing that as long as he stood firm â€Å"no misfortune was too great to bear.† The men remained relentless revealing the persistent nature of the Okies. Steinbeck demonstrates the injustice done unto the Okies, in Chapters Five and Seven, through the property owners and used car salesmen. In Chapter Five the owner men came to the Okies land to tell them they had to leave, the land was getting to be poor and they were unable to pay their taxes. The farmers protest, claiming that they have been on this land for generations and that they will have nowhere to go; they are told to go to California where there are many opportunities to make money. These families represent the Joads being kicked off their land by â€Å"the bank—the monster [who] has to have profits all the time†¦ When the monster stops growing, it dies. It can’t stay one size† (92). Steinbeck describes the greed and injustice of the â€Å"monster† with a tone of complete and utter antipathy revealing the lack of feelings and desensitization towards the suffering the farmers were being subject to. Later when the farmers choose to stay, the bank sends a man with a tractor to force the Okies off their land. The heartless man controlling the tractor seems to become a part of the machine, destroying any human sensitivity becoming incapable of intercession he does not even â€Å"look like a man† but rather he looks like â€Å"a robot in the seat† (94). The man blinded by greed chooses to forget his friends and convince himself that there is â€Å"no call to worry about anybody’s kids but [one’s] own.† The young man is willing to betray his community for a comfortable life, explaining to the tenant that he must knock down the tenant’s house, â€Å"got to keep the lines straight.† Tommy discovers, upon arriving home, that the same thing has happened to his old house. The connection between the two stories transfers a sense of sympathy towards the tenant farmers, and anger towards the inhumanity of the driver, to the story of the Joads. In chapter seven Steinbeck highlights the injustice done to the Okies by describing the used car salesman and the way he tricked tenant farmers out of excessive amounts of money. The tenant farmers, new to the world of salesmen, don’t have a choice to be without a car and are forced to ignore the fact that they are being sold a run down car for a price that far exceeds the amount it is worth. The chapter is written in a singsong melodic format in order to symbolize the bounce of a car rolling down the road, quick-paced and crude. Throughout the chapter a car salesman and his assistant utilize the lack of knowledge and desperation of the evacuees to force them into deals by complaining that they’re â€Å"taking up [their] time then walking out† on the deal. The disrespect and blasphemy of the salesmen creates more sympathy for the Okies and anger towards those who choose to exploit them. When the Joads go to sell they’re whole lives they are only give eighteen dollars, a very low price compared to what they deserved. The appalling situations that the Okies are found in combined with the malicious manner with which those who are better off treat them causes the readers to feel compassion for the ex-tenants. The ninth chapter of the book describes a family being forced to leave, and take with them only that which they can carry. Another family comes to buy the house and begins to pick through the once precious belongings of the owners. They sell what they can of the tenant’s past and burn the rest. All the while the tenant’s are crying out â€Å"How can we live without our lives? How will we know it’s us without our past? No. Leave it. Burn it.† After watching their belongings go up in flames the Okies no longer have a desire to stay and choose to leave their old life behind and drive on. Being forced to watch their personal belongings burn without a morsel of understanding from the buyers causes the readers to feel sorrow for the Okies. The Okies encounter many people on their journey to California, some who work to improve life for everyone. The Joads however tend to come across people who are greedy and only seek to better themselves, not caring who they hurt in the process. Steinbeck writes his novel in this way to develop his main point that greed and capitalism is causing the dehumanization in America. He is creating a passion in his readers to stand up against the longing for wealth and ease and start helping others even when it may not be best for you. Steinbeck hopes to awaken humanity in America and fight against the black whole of greed. Americans must heed to his novel and apply it to today’s society as much as they would have in Steinbeck’s period.

Whittingtons Four Generic Approaches To Strategy Commerce Essay

Whittingtons Four Generic Approaches To Strategy Commerce Essay Figure 1 illustrates the two processes of strategy formulation; the deliberate and the emergent. The deliberate process produces the intended strategy while the emergent process produces an evolved strategy from unplanned changes in either the organization or the environment (Mintzberg Waters, 1985 cited in Batamuriza et al, 2006). Each of the four approaches gives differing views of how strategy is formulated. Classical approach The classical approach is the most prominent of the four approaches to strategy. It is a rational and deliberate approach to strategy formulation with a unitary objective of profit maximization (Whittington, 2001). The classical approach assumes the business environment to be predictable and so designs a rational and logical approach that will enable the organization to achieve its goals and objectives. The classical approach uses rational planning methodology such as PESTLE analysis to craft strategy (Mullins, 2007). A limitation of this approach is the uncertainty of events may occur in the macro environment that may render the approach obsolete (Wright, 2000). The classical and evolutionary approaches share a similarity as they both agree on the unitary goal of profit maximization as the outcome of strategy, however the evolutionary takes a different position as it relies on the ability of the market to secure profit maximization (Whittington 2001). While the classical approach is similar to Gareth Morgans machine metaphor which connotes efficiency, in the context of Mintzbergs schools of thought it is synonymous with designing, planning and positioning schools of thought which is line with Frederick Taylors Scientific school (Mintzberg, 1998). Evolutionary approach to strategy The evolutionary is an emergent approach to strategy formulation, it relies on the ability of the market to secure a unitary goal of profit maximization. It believes that evolution is natures cost benefit analysis (Einhorn Hogath 1988:114 cited in Whittington 2001, p.16) and so it does not matter whatever the strategy the manager puts in place, it is the market that will decide the best. While the evolutionary and the processual approaches share the same view on the unsuitability of the classical approach to cope with an unpredictable environment, the evolutionary believe in allowing the market to determine the choice strategy, while the processual require the organization to maintain the status quo and work with it (Whittington, 2001). A limitation of this approach is to ask if it is realistic to base a strategy only on the needs of the environment irrespective of the resources of the organization (Batamuriza et al, 2006). What happens if an organization operates in an unstable environment?, how often will such an organization need to develop its strategy? While this approach share a similarity with Gareth Morgans metaphor of organism and its ability to adapt to its environment (Morgan, 2006), it is also synonymous with Mintzbergs school environment as the determinant of strategy which is in line with the Contingency Theory (Mintzberg, 1998) Processual approach to Strategy In contrast with the classical and evolutionary approaches, the processual pursue pluralist goals as it seeks more than profit maximization as the expected outcome of strategy. This is a messy approach which places emphasis on bottom-up approach in which strategy emerge from individuals in the organization seeking to include their personnel objectives as part of the organizational goals (Batamuriza et al, 2006). The processual and the systemic approaches share a similarity in pluralist goals as the outcome of strategy but differ in their approaches, while the processual favours the emergent process, the systemic is goes with the deliberate (Whittington, 2001). The processual and the classical approaches also share a similarity as they both rely on an organizations micro environment as the determinant of strategy formulation (Batamuriza et al, 2006). A limitation of this approach is the challenge in the choice of strategy to be adopted and the insecurity of what job functions the managers perform if strategy formulation is a bottom-up approach (Batamuriza et al, 2006). The processual shares a relationship with Mintzbergs learning and power schools where uncertainty and politicking rules. The Mintzberg school of learning is in line with the theory of organizational learning while the power which relates to power distance theory (Mintzberg, 1998). The processual also shares a similarity with Gareth Morgans metaphor on psychic and political images of repression and conflict processes of strategy formulation respectively (Morgan, 2006). Systemic approach to Strategy The systemic is a deliberate approach to strategy which favours pluralist goals as the outcome of strategy. It not only seeks an approach to strategy formulation based on the socio-economic systems of the environment, but also organization goals that depends on the local rules in which the organization operates (Whittington, 2001). In this approach both the process and the outcome of strategy must align with the cultural rules of the local society. The systemic and the classical approaches share the same perspective on long-term planning but however differ on expected outcome of strategy. While the classical seek a unitary outcome of profit maximization, the systemic seeks a pluralist outcome which is dependent on the social context in which the organization is operating. For example, while the Americans seek unitary goal of profit maximization, the Koreans prefer pluralistic goals of growth and market share.(Whittington 2001). It also shares a similarity with evolutionary approach as they both favour the macro environment as the determinant of strategy formulation. A limitation of this approach is the process of strategy formulation which is in alignment with its social context, this then gives the impression of a strategy formulation that is according to itself (Batamuriza et al, 2006). Systemic approach is identical to Mintzbergs cultural school (Mintzberg, 1998) which is line with cultural intelligence theory and Gareth Morgans metaphor of culture as an image organization (Morgan, 2006). Conclusion Every organization and individual exist and operate in an ever changing environment with the aim of achieving one aim or the other from time to time with different objectives, subject to different conditions, thereby rendering irrelevant some known approaches in favour of alternatives and more relevant methodology. Whittington has no doubt made very valid contribution to strategy crafting that will stand the test of time, as it condemns rigidity to embrace flexibility in strategy crafting, as well as being responsive to changes within business environmental variables, that necessitate modification as the need arises. Strategy does matter as it gives meaning to an organization which enables the employees and the outside world indentify with that organization. There are different approaches to strategy, but they fall under two processes; deliberate or emergent. It is not enough for organizations to have a strategy, the formulation and implementation must flow together through the process of crafting. It has been said that strategy that is formulated by the top hierarchy of organizations, far removed from daily operations have been responsible for the fall of many of such organizations (Mintzberg 1987) From the above discussion, it is evident that there is no single definition for strategy, rather it is what an individual or organization makes it to be. An organization can survive without a strategy, for such an organization having no strategy could also be a strategy! Effective strategies can show up in the strangest places and develop through the most unexpected means. There is no one best way to make strategy (Mintzberg 1987, pp70).

Synthesis of Ethano Strapped TBs

Synthesis of Ethano Strapped TBs Chapter 3 Synthesis of Ethano Strapped TBs. 3.2  Experimental Section 3.2.1  General procedure for the synthesis of ethano-strapped Trà ¶gers base. The methano-strapped TrÓ §gers base (4.24 mmol) and 1,2-dibromoethane (1.60 g, 8.48 mmol, 2.0 eq.) were dissolved in N,N-dimethylformamide (5 mL) and lithium carbonate (1.41 g, 19.08 mmol, 4.5 eq.) was added to the mixture which was stirred and heated at 110  °C for 3 days.   The mixture was cooled and suspended in ethyl acetate (100 mL) and then washed with water (2 25 mL), dried over anhydrous magnesium sulfate, filtered and evaporated to dryness.   The crude material was chromatographed (silica gel) to afford the desired ethano-strapped Trà ¶gers base products. 3.3.5  2,8-Dimethoxy-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK 02-60)ACT checked NMR Starting with 2,8-dimethoxy TrÓ §gers base X (1.20 g, 4.24 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane:ethyl acetate 4:1) to afford X (659 mg, 53%) as an off-white solid.   m.p. 185-187  °C (lit.ref 186-189  °C)1.   1H NMR (400 MHz, CDCl3), ÃŽ ´ 3.55-3.61 (4H, m, CH2-CH2), 3.68 (6H, s, OCH3), 4.37 (2H, d, J = 17.2 Hz, CH2), 4.55 (2H, d, J = 17.2 Hz, CH2), 6.43 (2H, d, J = 2.8 Hz, ArH), 6.62 (2H, dd, J = 2.8, 8.6 Hz, ArH), 7.07 (2H, d, J = 8.6 Hz, ArH).   The data are in agreement with those reported in the literature.1 3.3.4  2,8-Dibromo-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK 01-120)ACT checked NMR Starting with 2,8-dibromo TrÓ §gers base X (1.65 g, 4.24 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane) to afford X (750 mg, 45%) as an off-white solid.   m.p. 220  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 3.47-3.59 (4H, m, CH2-CH2), 4.35 (2H, d, J = 17.4 Hz, CH2), 4.53 (2H, d, J = 17.4 Hz, CH2), 6.96 (2H, d, J = 8.4 Hz, ArH), 7.04 (2H, d, J = 2.1 Hz, ArH), 7.17 (2H, dd, J = 2.1, 8.4 Hz, ArH).   The data are in agreement with those reported in the literature.2 3.3.2  6H,12H-5,11-Ethanodibenzo[b,f][1,5]diazocine X(MHK 01-116)ACT checked NMR Starting with unsubstituted methano-strapped TrÓ §gers base X (942 mg, 4.24 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane: ethyl acetate 4:1) to afford X (505 mg, 51%) as an off-white solid.   m.p. 169-171  °C (lit.3 174  °C).   1H NMR (400 MHz, CDCl3) ÃŽ ´ 3.53-3.68 (4H, m, CH2-CH2), 4.46 (2H, d, J = 17.2 Hz, CH2), 4.61 (2H, d, J = 17.2 Hz, CH2), 6.89-6.96 (4H, m, ArH), 7.03-7.08 (2H, m, ArH), 7.09-13 (2H, m, ArH).   The data are in agreement with those reported in the literature.3 5.3.20Di-tert-butyl-3,9-dicarbamate-2,8-dimethyl-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X (MHK-06-108)   Sample has a lot of ethyl acetate in it re-run both 1H and 13C NMR Starting with bis(3,9-tert-butyl-dicarbamate-2,8-dimethyl TrÓ §gers base X (5.00 g, 10.42 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane:ethyl acetate 1:1) to afford X (2.67 g, 52% with 7% methano strapped as a impurity) as a pale brown solid.   m.p. X-Y  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 1.49 (18H, s, Boc CH3), 2.03 (6H, s, CH3), 3.50-3.60 (4H, m, CH2-CH2), 4.40 (2H, d, J = 17.1 Hz, CH2), 4.48 (2H, d, J = 17.1 Hz, CH2), 6.08 (2H, s, ArH), 6.67 (2H, s, ArH), 7.56 (2H, br s, NH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 17.1, 28.3, 54.9, 58.5, 80.2, 120.3, 128.4, 130.3, 132.0, 134.9, 148.8, 152.9 ppm.   FTIR 1049 (m), 1182 (s), 1230 (m), 1709 (s, C=O), 2900 (m), 2972 (m), 3295(bs), cm-1.   Anal. Calcd for C28H38N4O4:   C 67.99; H 7.74; N 11.33.   Found C XX; H XX; N XX %. 3.3.38H,16H-7,15-Ethanodinaphtho[2,1-b][2,1-f][1,5]diazocine X(MHK 03-72)ACT checked NMR contains an impurity ethano strap region should be symmetric Re-run both 1H and 13C NMR grow crystals! Starting with naphthalene TrÓ §gers base X (500 mg, 1.55 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane) to afford X (113 mg, 22%) as an off-white solid.   m.p. 224-227  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 3.75-3.97 (4H, m, CH2-CH2), 4.90 (2H, d, J = 17.5 Hz, CH2), 5.44 (2H, d, J = 17.5 Hz, CH2), 7.27-7.37 (4H, m, ArH), 7.41-7.48 (2H, m, ArH), 7.51 (2H, app. d, J = 8.6 Hz, ArH), 7.67 (2H, app. d, J = 8.0 Hz, ArH), 7.82 (2H, d, J = 8.5 Hz, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 55.2, 55.7, 122.3, 124.4, 126.0, 127.3, 127.5, 128.3, 128.6, 131.5, 132.5, 148.5 ppm.   FTIR 828 (s), 927 (s), 1137 (m), 1209 (m), 1469 (m), 2360 (m), 2900 (m), 2959 (m) cm-1.   Anal. Calcd for C24H20N2:   C 85.68; H 5.99; N 8.33.   Found C 85.73; H 5.68; N 8.59%. 3.3.72,8-Dimethanol-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK 04-50)The spectrum is terrible there is NO way you can claim to have made this compound see me Starting with 2,8-dimethanol TrÓ §gers base X (400 mg, 1.42 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane: ethyl acetate 1:1) to afford X (134 mg, 32%) as a colourless solid.   m.p. X-Y  °C (lit.ref A-B  °C).2   1H NMR (400 MHz, CDCl3) ÃŽ ´ 1.76 (2H, br s, OH), 3.46-3.64 (4H, m, CH2-CH2), 4.43 (2H, d, J = 17.3 Hz, CH2), 4.47 (2H, s, CH2OH), 4.56 (2H, d, J = 17.2 Hz, CH2), 6.89 (2H, app. s, ArH), 7.02 (2H, dd, J = 1.5, 8.1 Hz, ArH), 7.07 (2H, d, J = 8.0 Hz, ArH), 7.26 (2H, s, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 54.6, 59.1, 64.8, 126.1, 127.5, 128.1, 136.7, 137.2, 149.6 ppm.   FTIR 750 (s), 884 (s), 1105 (m), 1195 (m), 1328 (m), 1491 (d), 1622 (s), 1701 (s, C=O), 2852 (m), 2893 (bs), 2946 (m) cm-1.   Anal. Calcd for C18H20N2O2:   C 72.95; H 6.80; N 9.45.   Found C XX; H XX; N XX %.   See me is this compound in the literature(NOT charactrised in letreature)   1.  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã‚  Ã ‚  Ã‚   Ishida, Y.; Ito, H.; Mori, D.; Saigo, K., Tetrahedron Lett. 2005, 46, 109-112. 3.3.82-Bromo-8-methyl-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK-05-18)ACT checked NMR Starting with 2-bromo-8-methyl TrÓ §gers base X (1.30 g, 4.12 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane) to afford X (1.00 g, 73%) as an off-white solid.   m.p. 209-212  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 2.19 (3H, s, CH3), 3.47-3.62 (4H, m, CH2-CH2), 4.37 (2H, app. d, J = 17.1 Hz, CH2), 4.53 (1H, d, J = 17.2 Hz, CH2), 4.54 (1H, d, J = 17.2 Hz, CH2), 6.71 (1H, app. s, ArH), 6.86-6.91 (1H, m, ArH), 6.97 (1H, d, J = 8.3 Hz, ArH), 6.99 (1H, d, J = 7.9 Hz, ArH), 7.03 (1H, d, J = 2.1 Hz, ArH), 7.15 (1H, dd, J = 2.1, 8.3 Hz, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 20.7, 54.70, 54.74, 58.7, 59.0, 117.5, 127.7, 128.1, 129.1, 129.7, 130.1, 131.4, 134.4, 136.0, 139.2, 147.2, 149.5 ppm.   FTIR 863 (s), 944 (m), 1090 (m), 1219 (s), 1341 (s), 1476 (s), 1518 (s), 2901 (m), 2954 (m) cm-1.   Anal. Calcd for C17H17BrN2:   C 62.02; H 5.20; N 8.51.   Found C 62.29; H 5.12; N 8.68%. 3.3.92-Bromo-8-methoxyl-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK-04-34)ACT checked NMRReplot 13C with expansions of all picked peaks and show ACTMay need to re-run 13C with more scans not sure about some peaks Starting with 2-bromo-8-methoxy TrÓ §gers base X (500 mg, 1.51 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane:ethyl acetate 2:1) to afford X (180 mg, 35%) as a pale brown solid.   m.p. 156-157  °C.   1H NMR (400 MHz, CDCl3) 3.50-3.60 (4H, m, CH2-CH2), 3.68 (3H, s, OCH3), 4.34 (1H, d, J = 17.3 Hz, CH2), 4.37 (1H, d, J = 17.2 Hz, CH2), 4.52 (1H, d, J 17.3 Hz, CH2), 4.54 (1H, d, J = 17.2 Hz, CH2), 6.42 (1H, d, J = 2.9 Hz, ArH), 6.63 (1H, dd, J = 2.9, 8.6 Hz, ArH), 6.98 (1H, d, J = 8.4 Hz, ArH), 7.01-7.06 (2H, m, ArH), 7.16 (1H, dd, J = 2.0, 8.4 Hz, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 54.7, 54.8, 55.2, 58.8, 59.2, 112.8, 113.3, 117.6, 128.8, 129.7, 130.2, 131.5, 137.5, 139.0, 149.4, 156.6, 165.6 ppm.   FTIR 805 (m), 846 (m), 1025 (s), 1066 (s), 1278 (s), 1469 (s), 1487 (m), 1594 (m), 2359 (m), 2900 (m) cm-1.   Anal. Calcd for C17H17BrN2O:   C 59.14; H 4.96; N 8.11.   Found C 59.26; H 4.72; N 8.08%. 3.3.102-Ethoxycarbonyl-4,8-dimethyl-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK-04-30)ACT checked 1H NMR NEED 13C NMR Starting with 2-ethoxycarbonyl-4,8-dimethyl TrÓ §gers base X (500 mg, 1.55 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane:ethyl acetate 4:1) to afford X (88 mg, 17%) as a pale yellow solid.   m.p. 182-185  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 1.32 (3H, t, J = 7.1 Hz, CH3), 2.17 (3H, s, CH3), 2.38 (3H, s, CH3), 3.54-3.66 (4H, m, CH2-CH2), 4.20-4.33 (3H, m, CH2), 4.49 (1H, d, J = 17.4 Hz, CH2), 4.50 (1H, d, J = 17.2 Hz, CH2), 4.60 (1H, d, J = 17.2 Hz, CH2), 6.69 (1H, app. s, ArH), 6.85-6.89 (1H, m, ArH), 7.02-7.09 (1H, m, ArH), 7.46 (1H, app. s, ArH), 7.65 (1H, app. s, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 14.3, 17.8, 20.7, 54.7, 55.4, 55.4, 59.3, 60.6, 126.1, 127.8, 128.1, 129.0, 130.0, 134.3, 135.5, 136.5, 137.0, 147.2, 152.8, 166.5 ppm.   FTIR 776 (s), 833 (s), 905 (m), 1025 (s), 1215 (s), 1293 (s), 1497 (s), 1709 (s, C=O), 2900 (m) cm-1.   Anal. Calcd for C21H24N2O2:   C 74.97; H 7.19; N 8.33.   Found C 74.72; H 7.25; N 8.41 %. 2.3.118-Bromo-2-ethoxycarbonyl-4-methyl-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X (MHK-05-22)ACT checked NMRNeed to re-run 13C with more scans insufficient aryl peakssections of 1H MR should go in thessi with discussion see ACT Starting with 8-bromo-2-ethoxycarbonyl-4-methyl TrÓ §gers base X (5.50 g, 14.21 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane:ethyl acetate 3:1) to afford X (1.70 mg, 30%) as pale yellow solid.   m.p. 196  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 1.33 (3H, t, J = 7.1 Hz, CH3), 2.36 (3H, s, CH3), 3.54-3.64 (4H, m, CH2-CH2), 4.21 (1H, d, J = 17.5 Hz, CH2), 4.24-4.34 (2H, 2 x overlapping q, J = 7.1 Hz, CH2-CH3), 4.47 (1H, d, J = 17.3 Hz, CH2), 4.49 (1H, d, J = 17.4 Hz, CH2), 4.57 (1H, d, J = 17.3 Hz, CH2), 6.97 (1H, d, J = 8.4 Hz, ArH), 7.01 (1H, d, J = 2.2 Hz, ArH), 7.15 (1H, dd, J = 2.2, 8.4 Hz, ArH), 7.44-7.46 (1H, m, ArH), 7.65-7.67 (1H, m, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 14.3, 17.8, 54.6, 55.0, 55.2, 59.1, 60.7, 117.6, 126.3, 128.0, 129.9, 130.2, 130.3, 131.2, 135.6, 136.6, 139.1, 149.2, 152.3, 166.4 ppm.   FTIR 827 (s), 927 (s), 1023 (m), 1150 (s), 1387 (s), 1412 (m), 11470 (s), 1704 (s, C=O), 2360 (m), 2900 (m) cm -1.   Anal. Calcd for C20H21BrN2O2:   C 59.86; H 5.27; N 6.98.   Found C 59.76; H 5.19; N 7.21%. 3.3.121,4,8-Trimethyl-2-nitro-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK-02-10)Need 1H and 13C NMR where are these!!! Starting with 1,4,8-trimethyl-2-nitro- TrÓ §gers base Y (500 mg, 1.62 mmol), the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane:ethyl acetate:hexane 4:1:1) to afford X (153 mg, 29%) as a yellow solid.   m.p. 138-141  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 2.20 (6H, s, CH3), 2.36 (3H, s, CH3), 3.54-3.64 (4H, m, CH2-CH2), 4.33 (1H, d, J = 17.5 Hz, CH2), 4.36 (1H, d, J = 17.6, CH2), 4.50 (1H, d, J = 17.5 Hz, CH2), 4.65 (1H, d, J = 17.6 Hz, CH2), 6.75 (1H, app. s, ArH), 6.89 (1H, app.d, J = 7.9 Hz, ArH), 7.01 (1H, d, J = 8.0 Hz, ArH), 7.40 (1H, s, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 14.7, 17.8, 20.7, 54.1, 54.9, 55.7, 57.2, 124.1, 125.0, 127.9, 128.3, 128.6, 128.8, 134.2, 134.6, 136.5, 136.8, 147.2, 152.4 ppm.   FTIR 819 (m), 1053 (s), 1185 (m), 1280 (s), 1369 (m), 1497 (m), 2359 (m), 2900 (m), 2987 (m) cm-1.   Anal. Calcd for C19H21N3O2:   C 70.57; H 6.55; N 12.99.   Found C 70.52; H 6.28; N 12.69%. 3.3.142,8-Dimethyl-4-nitro-6H,12H-5,11-ethanodibenzo[b,f][1,5]diazocine X(MHK-02-10, MHK04-66 ChromA1)re-run 1H and 13 Spectra Starting with 2,8-dimethyl-4-nitro-Trà ¶gers base X (500 mg, 1.69 mmol) and 1with heating for 5 days,the crude material obtained upon work-up was chromatographed (silica gel, dichloromethane: ethyl acetate 10:1) to afford Y (120 mg, 23%) as a yellow solid.   m.p. 168-170  °C.   1H NMR (400 MHz, CDCl3) ÃŽ ´ 2.20 (3H, s, CH3), 2.21 (3H, s, CH3), 3.42-3.63 (4H, m, CH2-CH2), 4.44 (1H, d, J = 17.6 Hz, CH2), 4.50 (2H, app. s, CH2), 4.62 (1H, d J = 17.6 Hz, CH2), 6.79 (1H, app. s, ArH), 6.87-6.94 (2H, m, ArH), 7.02 (1H, d, J = 8.0 Hz, ArH), 7.11 (1H, app. s, ArH).   13C NMR (100 MHz, CDCl3) ÃŽ ´ 20.5, 20.7, 54.4, 56.0, 58.0, 59.4, 122.0, 127.5, 128.1, 129.4, 132.2, 134.6, 135.4, 136.0, 139.4, 140.8, 146.9, 150.5 ppm.   FTIR 836 (m), 884 (m), 1021 (m), 1171 (s), 1371 (m), 1521 (s), 2910 (m), cm-1.   Anal. Calcd for C18H19N3O2:   C 69.88; H 6.19; N 13.58.   Found C 69.67; H 6.24; N 13.43%. References 1.Hamada, Y.; Mukai, S., Tetrahedron: Asymmetry 1996, 7, 2671-2674. 2.Ishida, Y.; Ito, H.; Mori, D.; Saigo, K., Tetrahedron Lett. 2005, 46, 109-112. 3.Faroughi, M.; Try, A. C.; Turner, P., Acta Crystallogr., Sect. E: Struct. Rep. Online 2008, 64, o458.

The Leadership Secrets of Santa Claus Essay examples -- essays researc

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The Jehovah Witness beliefs are in strict accordance to the Bible. Their Bible is called the New World Translation Bible. Their God is the God of the Old Testament and they call him Jehovah. Jehovah’s reject the symbol of a cross because they believe it comes from a pre-Christian, pagan origin. They believe Jesus was nailed to a single upright wooden stake. They don not believe in the Trinity. They believe that the Holy Spirit is a force, which intervenes for God on earth. Jehovah’s view Satan as the enemy of God. The way to resist him is to learn about Jehovah. Jehovah’s accept Genesis as the creation of man. They also believe that every man is born with original sin. They say that when you die your spirit dies along with you. Only some will experience eternal life when they are resurrected. Jehovah’s believe that salvation is achieved by accepting Christ as the Lord. They believe that it is possible to fall from grace and heaven is a place where Jesus Christ and the other â€Å"True Christians† will live. Only 144,000 will have access to Heaven. Hell does not exist for them because...

Remote Electronic Voting: A Simple, Safe, and Accurate Voting System Es

Remote Electronic Voting: A Simple, Safe, and Accurate Voting System Does it not seem obvious that the United States should be voting over the Internet by now? Considering all the vitally important monetary and information-related transactions that occur over the Internet every day, one would think this could and would have happened already. However, Remote Electronic Voting, especially on a national scale, presents us with some possibly troubling implications and problems. These implications and problems, especially those concerning security, have prevented the U.S. from employing such Internet voting in a national election so far. Is such a system in our future? Many experts believe so. But as of yet, the risks seem to outweigh the rewards. Before going any farther, it is important to clarify the difference between Internet voting and Remote Electronic Voting. Internet voting already occurs in many places. It refers merely to voting from a computer that is under the control of election officials, usually in a specific precinct’s polling place. On the other hand, Remote Electronic Voting is the new prospect of voting over the Internet from a remote, unsupervised location (Alvarez 4, Rubin). This new prospect has sure advantages but many likely drawbacks as well. The greatest advantage that Remote Electronic Voting could provide would be ease of voting. The weather, waiting in line, and being confused about where one’s polling place is would no longer be issues. Also, Remote Electronic Voting would practically eliminate the need for absentee ballots, which often are not counted. In fact, in the 2000 and 1996 presidential elections, it is estimated that about 40% of oversea... ...r the fairness of the system. It is probably just as crucial that issues concerning the â€Å"Digital Divide† and coercion be resolved as issues concerning security. The last thing the U.S. should want is a simple, safe, accurate, and grossly unfair voting system. WORKS CITED Alvarez, R. Michael, and Thad E. Hall. Point, Click, and Vote: The Future of Internet Voting. Washington, D.C., Brookings Institution Press, 2004. Hardy, Michael. â€Å"Pentagon Nixes Internet Voting, Questions About Security Linger.† 23 February, 2004. Federal Computer Week.com Online Magazine. http://www.fcw.com/fcw/articles/2004/0223/pol-pentagon-02-23-04.asp Rubin, Aviel D. â€Å"Security Considerations for Remote Electronic Voting over the Internet.† Florham Park, NJ, A&T Labs – Research, with Internet Policy Institute e-voting workshop. Online. http://avirubin.com/e-voting.security.html

Counterargument and Peaceful Species

IGCSE English as a First Language – The Winchester School, Dubai Ishita Sharma – 11G Argumentative writing: â€Å"Humans are a peaceful species at heart† How far do you agree? Are humans a peaceful species at heart? It’s a difficult task to pick a clear side but many people have many opinions. There are various people who will say yes, humans are a peaceful species at heart but there are equally many people who would say no. After all, it is a broad topic concerning an unpredictable species.One strong argument in support of this statement would be that if we weren’t a peaceful species how would we co-exist in such a large population in places like mega cities. Furthermore, criminals exist in a minority, how can that tip the scales and make us think that we are a violent species. Also, if we were so violent, why would we organize charities for people we don’t even know? Why would donations exist? If we were not cooperative how would generation s of scientists from all over the world discover things such as the atom, medicines etc.The counter-argument to that would be that we could just be cooperating for selfish reasons or from fear of justice. There are many who are against this statement and have just as many points to justify their opinion. The most important point is that if we were so peaceful, why are there such things as wars? A minority of criminals, which is slowly rising, have the ability to kill innocent people, are they not humans too? Why is it that weapons such as guns which were invented to protect the innocent, are now being used to kill them? Terrorism and racism, in other words hatred, have consumed many defenceless beings.It is in human nature in fact, to be aggressive. In our history, there have been massive blood baths for selfish reasons such as a quest for power and even natural resources. We are the reason that the Earth may suffer another Ice Age as we are destroying it on a daily basis. Could it not be that it is a fear of being reprimanded that makes us behave like civil people? After all, just 3000 years or so ago, we were barbarians who fought over land and food, and it seems we continue to do so. In conclusion, after weighing up the arguments, I feel that I am against this statement. Humans are not peaceful as it is not even in our nature to be so.We are the cause of many epidemics and in the end we are the ones who destroy each other and everything around us whether it is for selfish purposes or justice. After all, there is no justification for violence, destruction and of course, selfishness. Comment: Introductory paragraph. Explains the fact that this is a complex topics towards which people have differing opinions. Comment: Reason 1. Argument for Comment: Good example of connective adverb to develop reason 1. Comment: Reason 2 Comment: Bridge sentence, indicating that she is now moving on to the reasons against the topic Comment: Argument sections. Reasons for.Comme nt: Use of rhetorical questions to bring the reader over to her viewpoint. Comment: Counter argument section. Reasons against. Comment: Conclusion section of the essay. She states her opinion and reiterated the main reason why she doesn’t believe humans are a peaceful species at heart. Overall, this essay scores an A grade. Ishita has followed the structure we discussed in class: clear introduction, followed by argument, counterargument and a conclusion. She has points for and against the topic indicating that she has considered both sides of the argument and is aware of what the proponents and opponents of the statement believe.She has used a few rhetorical questions for emphasis – always a good strategy. Her conclusion was sound: she states her opinion after presenting us with her main reason why she believes humans aren’t a peaceful species at heart. Her sentences are grammatically correct and she makes her points succinctly with a confident economy of words. She could score a higher grade if she focused a little more on elaborating her points for/against. Using a more varied vocabulary would add an extra dimension to her writing and drive home her points all the more effectively. – Mr. Roberts

Children’s Technology Usage Essay

When was the last time you truly spent time with your child? When was the last time your child ACTUALLY talked to you? Most parents honestly can’t answer that question or have to really think about it. Children nowadays depend on technology to get them through their lives. Spending too much time glued to technology causes kids to have no human interaction skills, it exposes them to inappropriate content and most importantly it poses serious health risks. As parents it is their responsibility to put restrictions on the technology their children are using. Children who are constantly communicating via technology are losing vital human interaction skills. Vincent Nichols once stated; â€Å"We’re losing social skills, the human interaction skills, how to read a person’s mood, to read their body language, how to be patient until the moment is right to make or press a point. Too much exclusive use of electronic information dehumanizes what is a very, very important pa rt of community life and living together†. (Vincent Nichols. (n.d.). BrainyQuote.com). This quote is a great summary of the future of our children. Do they know how to hold an actual conversation, how to present themselves, how to read body language? When texting you can’t tell someone’s tone of voice and you don’t have to deal with confrontation. How will children attend job interviews if they don’t know how to interact with people in person? These are the fears that every parent should have for their child. Not to mention that there is a complete absence of family time. Families now are not nearly as close as they have been in past generations. Children will lose the ability to express their feelings, they will not be comfortable talking about problems with their parents and siblings will not be as close. Limiting the amount of time that children spend with technology and enforcing technology free times will help promote family time and interaction with people. To add to the lack of human interaction skills, the amount of inappropriate con tent that can be accessed by children is endless. Parents are aware of what images there are on the internet and how easy it is to access them. Children have rather curious minds and the information they could attempt to access is endless. Most times they don’t even have to search inappropriate content; it is right in front of them through  commercials, pop up ads and friends. Everything from sexual content, to body image, to drugs and alcohol, and even to violence is out there for them to access. Putting restricts on what children search, watch and download will help limit their exposure to such content. Having access to these types of content at such young ages will cause serious health risks now and later in life. Putting restrictions on what children can view is simple to do. Most cable companies, phone providers and internet providers have guidelines and support to help parents place restrictions on what their children can search and watch. Finally, excess time spent using technology can lead to serious health risks. Often obesity is the only risk that people associate with too much time spent on technology such as video games, TV, and cell phones. However, the health risks go far beyond obesity. While it is true that too much screen time is known to decrease the amount of physical activity a child partakes in it is not the only risk. Young girls who are already self conscious of their looks can find entire internet societies that brainwash them into thinking they need to be a picture perfect twig and teach them how to become one through anorexia and bulimia. Also, dependency on technology and always being in the now causes sleep disorders, stress and anxiety. Lack of sleep can cause mood disorders and the affects of stress and anxiety in young children can carry with them into their teenage and adult years making it more difficult to recover from. Drugs and alcohol and often glorified and young teens think that they need to do them to be cool causing addiction, overdose, and even death. Making sure that their children are healthy and safe should be a parent’s main concern. Placing restrictions on technology will help ensure that their children stay alive. As parents it is their responsibility to put restrictions on the technology their children are using. What kind of future do parents want for their children? Parents now are already at a disadvantage of raising their children in an era full of technology. They have their work cut out for them to make sure that their children are not dependent on technology and that they learn human interaction skills. Keeping their children protected from the inappropriate content and ensuring that their children do not suffer from mental and physical health problems as a result of technology should be every parent’s priority. Every parent should be placing restrictions on when and what their children are using technology for. References: Vincent Nichols. (n.d.). BrainyQuote.com. Retrieved September 22, 2014, from BrainyQuote.com Web site: http://www.brainyquote.com/quotes/quotes/v/vincentnic532641.html

Human Morality Essay

A common question throughout history has always been about human morality. Because of our higher thinking capacity, we are hardwired to adapt and refine our basic instincts to survive; therefore, it is obvious this question would be disputed throughout time. Are humans innately good, bad, or plainly neutral? The position that any one person takes may be derived from any number of ideas, be them philosophical thoughts or scientific inquiries. This essay asserts that morality is innate, and uses both scientific studies and ideas from philosophers to support this argument. Man is essentially good, and the different ways people are nurtured—from societal influences to parental influences—creates the large spectrum and variety of behavior that may not be deemed â€Å"good† or â€Å"moral. † The magazine Smithsonian published an article named â€Å"Born to Be Mild† in January of 2013 on morality in young children. This article wrote about a few different studies done on children by three different experimenters. In one of the studies titled â€Å"Spontaneous Altruism by Chimpanzees and Young Children,† Felix Warneken tested the morality of humans through young babies (because they have had little to no socialization) and also tested morality of chimpanzees, the closest relative to humans. In this study, 18-month-old toddlers were tested to see if they would help others in need by retrieving a dropped item that an adult struggled for. In almost all instances, the child returned the item. Warneken stated, â€Å"[Helping at that age] is not something that’s been trained, and [the children] come to help without prompting or without being rewarded† (Tucker 39). Not only did the toddlers help people in need, they also helped without social cues (such as the distress someone in need has). Many toddlers in the experiment Warneken created helped retrieve a can that had fallen off a table next to an adult and the adult failed to realize something was amiss. When Warneken tested the chimpanzees to see if they would return the same answers, he tested chimpanzees that were nursery-raised and semi-wild chimps. Both tests displayed the same results as the tests on the toddlers—chimpanzees were willing to help both humans and other chimps in need with no reward for themselves (Tucker 39-41). The fact that most of the toddlers and human relatives, the chimpanzees, helped others in need both with and without social cues strongly points to the idea that human morality is innate. A second study highlighted in the Smithsonian article was a reproduction of a previous study from the mid-2000s. The original study was an animated presentation shown to six to ten month old babies in one group and three month old babies in a second. The animated presentation consisted of a red circle attempted to climb a hill. In one instance, a triangle helped the circle climb, and in another, a square knocked the circle down. When the square and triangle were presented to the older group of babies, almost all babies chose the helping triangle over the hindering square. For the younger group, the researchers tracked the eye movement of the babies to either the triangle or square, because the babies could not physically grab the object. In the reproduction, done by another experimenter, the results were the same. Once again, evidence suggests that because babies seem so morally good, humans are innately good, and it is the nurture we receive as we are socialized into this culture that may cause some people to seem morally corrupt (Tucker 38-39). It should be noted that because the reproduction provided the same results as the original study, an even stronger case was created for the idea of innate human morality. The messages that Machiavelli gives in â€Å"The Qualities of the Prince† may cause one to believe that humans are innately evil because through â€Å"The Qualities of the Prince,† Machiavelli details how to be cunning, take control, and maintain control as a ruler of a province. His teachings seem to create humans as greedy people, hungry for more. This is actually very incorrect. Machiavelli clearly states, â€Å"it is necessary for a prince†¦to learn how to not be good† (42). I emphasize that Machiavelli wrote a man must learn to not be good. One can assume from this that Machiavelli is saying man is at least in some degree, wholesome and moral. After all, humans were never meant to civilize and evolve. We are, in true form, animals that have an instinct to survive. Ruling and gaining power is a man-made idea. Opponents to the idea that humans are moral might suggest that if ruling is man-made, evil is already within us because we created the concept of ruling others; however, if man were truly evil, he would not take murder as a heavy offense, and would kill others in his way to get what he wants instead of just gaining control. The examples of rulers that Machiavelli writes help to reiterate this point. These men were not born thinking of war and control. They were raised and socialized to lead and gain power. Steinbeck and the messages he delivers in The Grapes of Wrath also point to the idea that human morality is innate. The author often writes of the distinct line of those with, and those without—in other words, the owners and the migrants or farmers. Steinbeck makes a point to write about how close-knit the migrants are in many instances. Steinbeck writes â€Å"‘I lost my land’ is changed†¦[to] ‘We lost our land. ’,† ‘I have a little food’ plus ‘I have none’†¦. is ‘We have a little food’† (151); â€Å"the twenty families became one family† (193); and â€Å"when a baby dies a pile of silver coins grew at the door flap† (195). All of these quotes show the goodness in others, to do something for someone in need. This is all in contrast to the owners, which on multiple different pages Steinbeck writes how disconnected they are from the land, and â€Å"the quality of owning freezes you forever into ‘I’† (Steinbeck 152). These owners are so encompassed by the material culture around them, by the greed and the blanketed reality that they cannot see with a moral compass anymore. Of course they have one, for at one point they might have been like the farmers, caring for others and instituted into the â€Å"we† group. Proponents for human neutrality might argue that the owners were never at any point good, that they were neutral and socialized into the owning culture, unlike the farming culture. This is not the case, however, through a passage that Steinbeck wrote very early in The Grapes of Wrath, which said, â€Å"Some of the owner men were kind because they hated what they had to do, and some of them were angry because they hated to be cruel, and some of them were cold because they had long ago found that one could not be an owner unless one were cold† (31). This insinuates that in all types of owners, there is a moral compass. Even in the coldest owners, deep within them, they acknowledge the idea that the work they do is wrong. Because the owners know what is wrong, they know the opposite as well—what is right. If the owners were not innately good, their views on what is right or wrong would be skewed by their societal influences. While people will never give up the argument of human morality, it is a safe bet to argue that humans are innately good. We possess the ability to help spontaneously and without reward, as shown in the scientific studies, and we understand what is right and wrong. Our societal influences and the way we were raised affects if we will channel our morality or go against it, as shown by Machiavelli in â€Å"The Qualities of the Prince† and by Steinbeck in The Grapes of Wrath. Works Cited Machiavelli, Niccolo. â€Å"The Qualities of the Prince. † A World of Ideas. Ed. Lee Jacobus. 8th e. Boston: Bedford, 2010. Print. Steinbeck, John. The Grapes of Wrath. New York: Penguin, 1939. Print. Tucker, Abigail. â€Å"Born to Be Mild. † Smithsonian Jan. 2013: 35-41, 76-77. Print.

Sensitivity Analysis

Linear Programming Notes VII Sensitivity Analysis 1 Introduction When you use a mathematical model to describe reality you must make approximations. The world is more complicated than the kinds of optimization problems that we are able to solve. Linearity assumptions usually are signi? cant approximations. Another important approximation comes because you cannot be sure of the data that you put into the model. Your knowledge of the relevant technology may be imprecise, forcing you to approximate values in A, b, or c. Moreover, information may change.Sensitivity analysis is a systematic study of how sensitive (duh) solutions are to (small) changes in the data. The basic idea is to be able to give answers to questions of the form: 1. If the objective function changes, how does the solution change? 2. If resources available change, how does the solution change? 3. If a constraint is added to the problem, how does the solution change? One approach to these questions is to solve lots of l inear programming problems. For example, if you think that the price of your primary output will be between $100 and $120 per unit, you can solve twenty di? rent problems (one for each whole number between $100 and $120). 1 This method would work, but it is inelegant and (for large problems) would involve a large amount of computation time. (In fact, the computation time is cheap, and computing solutions to similar problems is a standard technique for studying sensitivity in practice. ) The approach that I will describe in these notes takes full advantage of the structure of LP programming problems and their solution. It turns out that you can often ? gure out what happens in â€Å"nearby† linear programming problems just by thinking and by examining the information provided by the simplex algorithm.In this section, I will describe the sensitivity analysis information provided in Excel computations. I will also try to give an intuition for the results. 2 Intuition and Overvie w Throughout these notes you should imagine that you must solve a linear programming problem, but then you want to see how the answer changes if the problem is changed. In every case, the results assume that only one thing about the problem changes. That is, in sensitivity analysis you evaluate what happens when only one parameter of the problem changes. 1 OK, there are really 21 problems, but who is counting? 1To ? x ideas, you may think about a particular LP, say the familiar example: max 2Ãâ€"1 subject to 3Ãâ€"1 x1 2x 1 + + + 4Ãâ€"2 x2 3Ãâ€"2 x2 + + + + 3x 3 x3 2x 3 3x 3 + + + x4 4x 4 3x 4 x4 x ? ? ? 12 7 10 0 We know that the solution to this problem is x0 = 42, x1 = 0; x2 = 10. 4; x3 = 0; x4 = . 4. 2. 1 Changing Objective Function Suppose that you solve an LP and then wish to solve another problem with the same constraints but a slightly di? erent objective function. (I will always make only one change in the problem at a time. So if I change the objective function, not onl y will I hold the constraints ? ed, but I will change only one coe cient in the objective function. ) When you change the objective function it turns out that there are two cases to consider. The ? rst case is the change in a non-basic variable (a variable that takes on the value zero in the solution). In the example, the relevant non-basic variables are x1 and x3 . What happens to your solution if the coe cient of a non-basic variable decreases? For example, suppose that the coe cient of x1 in the objective function above was reduced from 2 to 1 (so that the objective function is: max x1 + 4Ãâ€"2 + 3Ãâ€"3 + x4 ).What has happened is this: You have taken a variable that you didn’t want to use in the ? rst place (you set x1 = 0) and then made it less pro? table (lowered its coe cient in the objective function). You are still not going to use it. The solution does not change. Observation If you lower the objective function coe cient of a non-basic variable, then the solution does not change. What if you raise the coe cient? Intuitively, raising it just a little bit should not matter, but raising the coe cient a lot might induce you to change the value of x in a way that makes x1 > 0.So, for a non-basic variable, you should expect a solution to continue to be valid for a range of values for coe cients of nonbasic variables. The range should include all lower values for the coe cient and some higher values. If the coe cient increases enough (and putting the variable into the basis is feasible), then the solution changes. What happens to your solution if the coe cient of a basic variable (like x2 or x4 in the example) decreases? This situation di? ers from the previous one in that you are using the basis variable in the ? rst place. The change makes the variable contribute less to pro? . You should expect that a su ciently large reduction makes you want to change your solution (and lower the value the associated variable). For example, if the coe cient of x2 in the objective function in the example were 2 instead of 4 (so that the objective was max 2Ãâ€"1 +2Ãâ€"2 +3Ãâ€"3 + x4 ), 2 maybe you would want to set x2 = 0 instead of x2 = 10. 4. On the other hand, a small reduction in x2 ’s objective function coe cient would typically not cause you to change your solution. In contrast to the case of the non-basic variable, such a change will change the value of your objective function.You compute the value by plugging in x into the objective function, if x2 = 10. 4 and the coe cient of x2 goes down from 4 to 2, then the contribution of the x2 term to the value goes down from 41. 6 to 20. 8 (assuming that the solution remains the same). If the coe cient of a basic variable goes up, then your value goes up and you still want to use the variable, but if it goes up enough, you may want to adjust x so that it x2 is even possible. In many cases, this is possible by ? nding another basis (and therefore another solution).So, intuitively, t here should be a range of values of the coe cient of the objective function (a range that includes the original value) in which the solution of the problem does not change. Outside of this range, the solution will change (to lower the value of the basic variable for reductions and increase its value of increases in its objective function coe cient). The value of the problem always changes when you change the coe cient of a basic variable. 2. 2 Changing a Right-Hand Side Constant We discussed this topic when we talked about duality. I argued that dual prices capture the e? ct of a change in the amounts of available resources. When you changed the amount of resource in a non-binding constraint, then increases never changed your solution. Small decreases also did not change anything, but if you decreased the amount of resource enough to make the constraint binding, your solution could change. (Note the similarity between this analysis and the case of changing the coe cient of a non-bas ic variable in the objective function. Changes in the right-hand side of binding constraints always change the solution (the value of x must adjust to the new constraints).We saw earlier that the dual variable associated with the constraint measures how much the objective function will be in? uenced by the change. 2. 3 Adding a Constraint If you add a constraint to a problem, two things can happen. Your original solution satis? es the constraint or it doesn’t. If it does, then you are ? nished. If you had a solution before and the solution is still feasible for the new problem, then you must still have a solution. If the original solution does not satisfy the new constraint, then possibly the new problem is infeasible. If not, then there is another solution.The value must go down. (Adding a constraint makes the problem harder to satisfy, so you cannot possibly do better than before). If your original solution satis? es your new constraint, then you can do as well as before. I f not, then you will do worse. 2 2 There is a rare case in which originally your problem has multiple solutions, but only some of them satisfy the added constraint. In this case, which you need not worry about, 3 2. 4 Relationship to the Dual The objective function coe cients correspond to the right-hand side constants of resource constraints in the dual.The primal’s right-hand side constants correspond to objective function coe cients in the dual. Hence the exercise of changing the objective function’s coe cients is really the same as changing the resource constraints in the dual. It is extremely useful to become comfortable switching back and forth between primal and dual relationships. 3 Understanding Sensitivity Information Provided by Excel Excel permits you to create a sensitivity report with any solved LP. The report contains two tables, one associated with the variables and the other associated with the constraints.In reading these notes, keep the information i n the sensitivity tables associated with the ? rst simplex algorithm example nearby. 3. 1 Sensitivity Information on Changing (or Adjustable) Cells The top table in the sensitivity report refers to the variables in the problem. The ? rst column (Cell) tells you the location of the variable in your spreadsheet; the second column tells you its name (if you named the variable); the third column tells you the ? nal value; the fourth column is called the reduced cost; the ? fth column tells you the coe cient in the problem; the ? al two columns are labeled â€Å"allowable increase† and â€Å"allowable decrease. † Reduced cost, allowable increase, and allowable decrease are new terms. They need de? nitions. The allowable increases and decreases are easier. I will discuss them ? rst. The allowable increase is the amount by which you can increase the coe cient of the objective function without causing the optimal basis to change. The allowable decrease is the amount by which y ou can decrease the coe cient of the objective function without causing the optimal basis to change. Take the ? rst row of the table for the example. This row describes the variable x1 .The coe cient of x1 in the objective function is 2. The allowable increase is 9, the allowable decrease is â€Å"1. 00E+30,† which means 1030 , which really means 1. This means that provided that the coe cient of x1 in the objective function is less than 11 = 2 + 9 = original value + allowable increase, the basis does not change. Moreover, since x1 is a non-basic variable, when the basis stays the same, the value of the problem stays the same too. The information in this line con? rms the intuition provided earlier and adds something new. What is con? rmed is that if you lower the objective coe cient of a non-basic ariable, then your solution does not change. (This means that the allowable decrease will always be in? nite for a non-basic variable. ) The example also demonstrates your value wil l stay the same. 4 that increasing the coe cient of a non-basic variable may lead to a change in basis. In the example, if you increase the coe cient of x1 from 2 to anything greater than 9 (that is, if you add more than the allowable increase of 7 to the coe cient), then you change the solution. The sensitivity table does not tell you how the solution changes, but common sense suggests that x1 will take on a positive value.Notice that the line associated with the other non-basic variable of the example, x3 , is remarkably similar. The objective function coe cient is di? erent (3 rather than 2), but the allowable increase and decrease are the same as in the row for x1 . It is a coincidence that the allowable increases are the same. It is no coincidence that the allowable decrease is the same. We can conclude that the solution of the problem does not change as long as the coe cient of x3 in the objective function is less than or equal to 10. Consider now the basic variables. For x2 t he allowable increase is in? ite 9 while the allowable decrease is 2. 69 (it is 2 13 to be exact). This means that if the solution won’t change if you increase the coe cient of x2 , but it will change if you decrease the coe cient enough (that is, by more than 2. 7). The fact that your solution does not change no matter how much you increase x2 ’s coe cient means that there is no way to make x2 > 10. 4 and still satisfy the constraints of the problem. The fact that your solution does change when you increase x2 ’s coe cient by enough means that there is a feasible basis in which x2 takes on a value lower than 10. 4. You knew that. Examine the original basis for the problem. ) The range for x4 is di? erent. Line four of the sensitivity table says that the solution of the problem does not change provided that the coe cient of x4 in the objective function stays between 16 (allowable increase 15 plus objective function coe cient 1) and -4 (objective function coe cie nt minus allowable decrease). That is, if you make x4 su ciently more attractive, then your solution will change to permit you to use more x4 . If you make x4 su ciently less attractive the solution will also change. This time to use less x4 .Even when the solution of the problem does not change, when you change the coe cient of a basic variable the value of the problem will change. It will change in a predictable way. Speci? cally, you can use the table to tell you the solution of the LP when you take the original constraints and replace the original objective function by max 2Ãâ€"1 + 6Ãâ€"2 + 3Ãâ€"3 + x4 (that is, you change the coe cient of x2 from 4 to 6), then the solution to the problem remains the same. The value of the solution changes because now you multiply the 10. 4 units of x2 by 6 instead of 4. The objective function therefore goes up by 20. . The reduced cost of a variable is the smallest change in the objective function coe cient needed to arrive at a solution in which the variable takes on a positive value when you solve the problem. This is a mouthful. Fortunately, reduced costs are redundant information. The reduced cost is the negative of the allowable increase for non-basic variables (that is, if you change the coe cient of x1 by 7, then you arrive at a problem in which x1 takes on a positive 5 value in the solution). This is the same as saying that the allowable increase in the coe cient is 7.The reduced cost of a basic variable is always zero (because you need not change the objective function at all to make the variable positive). Neglecting rare cases in which a basis variable takes on the value 0 in a solution, you can ? gure out reduced costs from the other information in the table: If the ? nal value is positive, then the reduced cost is zero. If the ? nal value is zero, then the reduced cost is negative one times the allowable increase. Remarkably, the reduced cost of a variable is also the amount of slack in the dual constraint associated with the variable.With this interpretation, complementary slackness implies that if a variable that takes on a positive value in the solution, then its reduced cost is zero. 3. 2 Sensitivity Information on Constraints The second sensitivity table discusses the constraints. The cell column identi? es the location of the left-hand side of a constraint; the name column gives its name (if any); the ? nal value is the value of the left-hand side when you plug in the ? nal values for the variables; the shadow price is the dual variable associated with the constraint; the constraint R. H. ide is the right hand side of the constraint; allowable increase tells you by how much you can increase the right-hand side of the constraint without changing the basis; the allowable decrease tells you by how much you can decrease the right-hand side of the constraint without changing the basis. Complementary Slackness guarantees a relationship between the columns in the constraint table. The di? erence between the â€Å"Constraint Right-Hand Side† column and the â€Å"Final Value† column is the slack. (So, from the table, the slack for the three constraints is 0 (= 12 12), 37 (= 7 ( 30)), and 0 (= 10 10), respectively.We know from Complementary Slackness that if there is slack in the constraint then the associated dual variable is zero. Hence CS tells us that the second dual variable must be zero. Like the case of changes in the variables, you can ? gure out information on allowable changes from other information in the table. The allowable increase and decrease of non-binding variables can be computed knowing ? nal value and right-hand side constant. If a constraint is not binding, then adding more of the resource is not going to change your solution. Hence the allowable increase of a resource is in? ite for a non-binding constraint. (A nearly equivalent, and also true, statement is that the allowable increase of a resource is in? nite for a constraint w ith slack. ) In the example, this explains why the allowable increase of the second constraint is in? nite. One other quantity is also no surprise. The allowable decrease of a non-binding constraint is equal to the slack in the constraint. Hence the allowable decrease in the second constraint is 37. This means that if you decrease the right-hand side of the second constraint from its original value (7) to nything greater than 30 you do not change the optimal basis. In fact, the only part of the solution that changes when you do this is that the value of the slack variable for this constraint changes. In this paragraph, the point is only this: If you solve an LP and ? nd that a constraint is not binding, 6 then you can remove all of the unused (slack) portion of the resource associated with this constraint and not change the solution to the problem. The allowable increases and decreases for constraints that have no slack are more complicated. Consider the ? rst constraint.The informa tion in the table says that if the right-hand side of the ? rst constraint is between 10 (original value 12 minus allowable decrease 2) and in? nity, then the basis of the problem does not change. What these columns do not say is that the solution of the problem does change. Saying that the basis does not change means that the variables that were zero in the original solution continue to be zero in the new problem (with the right-hand side of the constraint changed). However, when the amount of available resource changes, necessarily the values of the other variables change. You can think about this in many ways. Go back to a standard example like the diet problem. If your diet provides exactly the right amount of Vitamin C, but then for some reason you learn that you need more Vitamin C. You will certainly change what you eat and (if you aren’t getting your Vitamin C through pills supplying pure Vitamin C) in order to do so you probably will need to change the composition of your diet – a little more of some foods and perhaps less of others. I am saying that (within the allowable range) you will not change the foods that you eat in positive amounts.That is, if you ate only spinach and oranges and bagels before, then you will only eat these things (but in di? erent quantities) after the change. Another thing that you can do is simply re-solve the LP with a di? erent right-hand side constant and compare the result. To ? nish the discussion, consider the third constraint in the example. The values for the allowable increase and allowable decrease guarantee that the basis that is optimal for the original problem (when the right-hand side of the third constraint is equal to 10) remains obtain provided that the right-hand side constant in this constraint is between -2. 333 and 12. Here is a way to think about this range. Suppose that your LP involves four production processes and uses three basic ingredients. Call the ingredients land, labor, and capi tal. The outputs vary use di? erent combinations of the ingredients. Maybe they are growing fruit (using lots of land and labor), cleaning bathrooms (using lots of labor), making cars (using lots of labor and and a bit of capital), and making computers (using lots of capital). For the initial speci? cation of available resources, you ? nd that your want to grow fruit and make cars.If you get an increase in the amount of capital, you may wish to shift into building computers instead of cars. If you experience a decrease in the amount of capital, you may wish to shift away from building cars and into cleaning bathrooms instead. As always when dealing with duality relationships, the the â€Å"Adjustable Cells† table and the â€Å"Constraints† table really provide the same information. Dual variables correspond to primal constraints. Primal variables correspond to dual constraints. Hence, the â€Å"Adjustable Cells† table tells you how sensitive primal variables and dual constraints are to changes in the primal objective function.The â€Å"Constraints† table tells you how sensitive dual variables and primal constraints are to changes in the dual objective function (right-hand side constants in the primal). 7 4 Example In this section I will present another formulation example and discuss the solution and sensitivity results. Imagine a furniture company that makes tables and chairs. A table requires 40 board feet of wood and a chair requires 30 board feet of wood. Wood costs $1 per board foot and 40,000 board feet of wood are available. It takes 2 hours of skilled labor to make an un? nished table or an un? ished chair. Three more hours of labor will turn an un? nished table into a ? nished table; two more hours of skilled labor will turn an un? nished chair into a ? nished chair. There are 6000 hours of skilled labor available. (Assume that you do not need to pay for this labor. ) The prices of output are given in the table below: Produ ct Un? nished Table Finished Table Un? nished Chair Finished Chair Price $70 $140 $60 $110 We want to formulate an LP that describes the production plans that the ? rm can use to maximize its pro? ts. The relevant variables are the number of ? nished and un? ished tables, I will call them TF and TU , and the number of ? nished and un? nished chairs, CF and CU . The revenue is (using the table): 70TU + 140TF + 60CU + 110CF , , while the cost is 40TU + 40TF + 30CU + 30CF (because lumber costs $1 per board foot). The constraints are: 1. 40TU + 40TF + 30CU + 30CF ? 40000. 2. 2TU + 5TF + 2CU + 4CF ? 6000. The ? rst constraint says that the amount of lumber used is no more than what is available. The second constraint states that the amount of labor used is no more than what is available. Excel ? nds the answer to the problem to be to construct only ? nished chairs (1333. 33 – I’m not sure what it means to make a sell 1 chair, but let’s assume 3 that this is possible) . The pro? t is $106,666. 67. Here are some sensitivity questions. 1. What would happen if the price of un? nished chairs went up? Currently they sell for $60. Because the allowable increase in the coe cient is $50, it would not be pro? table to produce them even if they sold for the same amount as ? nished chairs. If the price of un? nished chairs went down, then certainly you wouldn’t change your solution. 8 2. What would happen if the price of un? nished tables went up? Here something apparently absurd happens.The allowable increase is greater than 70. That is, even if you could sell un? nished tables for more than ? nished tables, you would not want to sell them. How could this be? The answer is that at current prices you don’t want to sell ? nished tables. Hence it is not enough to make un? nished tables more pro? table than ? nished tables, you must make them more pro? table than ? nished chairs. Doing so requires an even greater increase in the price. 3. What if the price of ? nished chairs fell to $100? This change would alter your production plan, since this would involve a $10 decrease in the price of ? ished chairs and the allowable decrease is only $5. In order to ? gure out what happens, you need to re-solve the problem. It turns out that the best thing to do is specialize in ? nished tables, producing 1000 and earning $100,000. Notice that if you continued with the old production plan your pro? t would be 70 ? 1333 1 = 93, 333 1 , so the change in production plan 3 3 was worth more than $6,000. 4. How would pro? t change if lumber supplies changed? The shadow price of the lumber constraint is $2. 67. The range of values for which the basis remains unchanged is 0 to 45,000.This means that if the lumber supply went up by 5000, then you would continue to specialize in ? nished chairs, and your pro? t would go up by $2. 67 ? 5000 = $10, 333. At this point you presumably run out of labor and want to reoptimize. If lumber supply decreased , then your pro? t would decrease, but you would still specialize in ? nished chairs. 5. How much would you be willing to pay an additional carpenter? Skilled labor is not worth anything to you. You are not using the labor than you have. Hence, you would pay nothing for additional workers. 6. Suppose that industrial regulations complicate the ? ishing process, so that it takes one extra hour per chair or table to turn an un? nished product into a ? nished one. How would this change your plans? You cannot read your answer o? the sensitivity table, but a bit of common sense tells you something. The change cannot make you better o?. On the other hand, to produce 1,333. 33 ? nished chairs you’ll need 1,333. 33 extra hours of labor. You do not have that available. So the change will change your pro? t. Using Excel, it turns out that it becomes optimal to specialize in ? nished tables, producing 1000 of them and earning $100,000. This problem di? ers from the original one because t he amount of labor to create a ? nished product increases by one unit. ) 7. The owner of the ? rm comes up with a design for a beautiful hand-crafted cabinet. Each cabinet requires 250 hours of labor (this is 6 weeks of full time work) and uses 50 board feet of lumber. Suppose that the company can sell a cabinet for $200, would it be worthwhile? You could solve this 9 problem by changing the problem and adding an additional variable and an additional constraint. Note that the coe cient of cabinets in the objective function is 150, which re? cts the sale price minus the cost of lumber. I did the computation. The ? nal value increased to 106,802. 7211. The solution involved reducing the output of un? nished chairs to 1319. 727891 and increasing the output of cabinets to 8. 163265306. (Again, please tolerate the fractions. ) You could not have guessed these ? gures in advance, but you could ? gure out that making cabinets was a good idea. The way to do this is to value the inputs to th e production of cabinets. Cabinets require labor, but labor has a shadow price of zero. They also require lumber. The shadow price of lumber is $2. 7, which means that each unit of lumber adds $2. 67 to pro? t. Hence 50 board feet of lumber would reduce pro? t by $133. 50. Since this is less than the price at which you can sell cabinets (minus the cost of lumber), you are better o? using your resources to build cabinets. (You can check that the increase in pro? t associated with making cabinets is $16. 50, the added pro? t per unit, times the number of cabinets that you actually produce. ) I attached a sheet where I did the same computation assuming that the price of cabinets was $150. In this case, the additional option does not lead to cabinet production. 10