Linear Programming
Part A
Introduction
“Linear programming was developed by George B. Dantzig in 1947 as a
technique for planning the diversified activities of the U.S Air
Force.” Linear programming is a powerful mathematical technique that
can be used to deal with the problem of allocating limited facilities
and resources among many alternative uses in order to find out the
optimal benefits. The main objective of the linear programming problem
in management is to maximize profit or minimize cost. Linear
programming has a wide variety of applications. It is used by oil
companies to determine the best mixture of ingredients for blending
gasoline. It is also plays an important part in making the optimal
schedules for transportation, production, and construction. In
addition, linear programming is a flexible problem-solving tool for
portfolio selection in finance, budgeting advertising expenditures in
marketing, assigning personnel in human resources management.
Applications
One of the most important applications of linear programming is the
formulation of blends. Blending problems appear whenever a manager
must decide how to blend tow or more recourse in order to produce one
or more products. In these situations, the recourses often contains
one or more essential components that must be mixed in a given pattern
and the final product will contains specific percentage of the
essential components. In most of these applications management then
has to decide how much of each recourse to purchase in order to
satisfy product specification and produce demand at minimum cost.
Blending problems occur frequently in the petroleum industry( such as
blending crude oil to produce different octane gasoline), chemical
industry( such as blending chemicals to produce fertilizers, week
killers, and so on), and food industry( such as blending input
ingredients to product soft drinks, soups, and so on).
Linear programming is also a very useful tool that can be used to deal
with problems in manufacturing industry, such as the product-mix
problem. In this situation, the objective of the manager is to
determine the production levels that will allow the company to meet
the product demand requirements, given limitations on labor capacity,
machine hour’s capacity and so on, at the same time, to make the cost
of production to minimum. The...
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...simultaneously, we get X=2/3, Y=7, plug them into objective function
40X+20Y we get a profit of £166.67. The difference between this profit
and the original max-profit is 166.67-160=£6.67, which means the dual
price for increasing/decreasing in purchasing 1 pig, is £6.67.
Economic meaning for shadow price
The economics meaning of shadow price is the improvement in the
optimal value of the objective function per unit increase in the
right-hand side of the constraint. In a profit maximization problem,
the dual price is the same as the shadow price. Managers could get
information from the performance of each constraint and therefore make
decisions on any changes in a particular input factor or resource in
order to increase profit. In this case, to get more profit, the farmer
is recommended to increase the number of bushels rather than increase
the amount of pigs.
Reference:
‘The Quantitative methods for business decision with casesÂ’, Lawrence
L. Lapim, 6th Edition, Dryden, Chapter 9.
‘An introduction to management science-quantitative approaches to
decision makingÂ’, David R.Anderson, Dennis J. Sweeney, Thomas A.
Williams. . 6Th Edition, West, Chapter 4.
This is important because a person’s feelings and behaviors are mainly driven by their thoughts. Another aspect I enjoy about CBT’s perspective on human nature is that they view humans being neutral instead of being either good or evil. The idea of, ”don’t judge a book by its cover” comes to mind in a sense that CBT’s perspective does not place labels on people, in which is important for rapport with client’s. The main emphasis of CBT’s perspective of human nature is placed irrational thinking causes emotional problems. By getting a client to think more rationally and improve their attitudes, it will improve the affect on their feelings and behaviors.
The ruling of Plessy v. Ferguson was not overturned until 1954 by Brown v. Board of Education. All-white schools did not allow black students to attend, so the NAACP filed a lawsuit on behalf of Linda Brown Smith and 4 others in 1951. Under a unanimous decision, the court declared that separate was not equal and segregation
Japan does have strictest school policy, because the Japanese has high-expectation for their future of the education of children. For Japanese students, “there are mounting public concerns that traditional Japanese values are not taught as effectively now as in the past” (Ellington 211). The parents or an adult wish to see the students are into to a “importance of effort”(Ellington 211). The Japanese have a different way of educating their children. They attended elementary school for six years (first grade to six grades). For middle school do have attended for three years (seven grade to nine grades) and also high school (ten grade to twelfth grade). It's a different grade year from here in America, however, Japan and American do have one thing in common the college attend for four years. In Japan, elementary school have to teach English to the children. Middle school does spend time of 1/3 on different the subject from school and for homework. Middle and High school have some time to spend sports/clubs after school.
Texting while driving makes a crash twenty three times more likely to happen (Texting While Driving Statistics). At any given moment, 660,000 drivers are using electronic devices while driving (Brooks). Most people say they would not drive while blindfolded, but when they text and drive it is the same thing. Someone going at sixty five miles per hour for only four to five seconds while driving is equivalent to covering the length of a football field, blindfolded (Brooks). But the problem is not only found in automobile drivers. Train engineers, bus drivers, and truck drivers are also part of the problem. There has been an incident where a train driver sent a dozen or so text messages while driving a train with passengers. He sent a text
Many authors often use symbolism to express a deeper meaning. They use the symbols to connect an unrelated thought or feeling into their literary work they are writing. Edgar Allan Poe frequently uses this literary device in his works. Symbols are many times seen in his poems and in his short stories. Many symbols are evident in Poe’s works “The Raven,” “The Tell-Tale Heart,” and “The Black Cat.” Because Poe’s works are typically dark, his use of symbols is in a dark way. Although there are many types of symbols manifested in these stories, Poe’s works generally include a symbol that eludes death or the end of something and many include references of sight and vision.
The first advantage is hybrid vehicles use less fuel than their petrol counterparts. This is because hybrids have an additional electric motor to help power the vehicle and reduce the strain on the engine, besides being able to shut down the...
That is equivalent to downing four beers and then getting behind the wheel.”. Texting while driving is considered to be the highest form of distracted driving. In 2002 2,600 people died from distracted drivers and in 2011 3,331 this number has gone up by 22% in the last 9 years. In 2002 drunk driving accidents have killed 12,405 people but by 2011 that number has decreased by 25% to 9,296. This shows that texting while driving is on its way up and may continue to get worse. The National Highway & Transportation Administration (NHTSA) declares that 1.6 millions accents are caused by texting and driving every year, thats almost 25% of all automobile accidents (Masters).We already know that texting increases chance in an accident, well so does dialing by 2.8%. Also so does talking and listening at 1.3% and reaching for your cell phone at 1.4% (Texting). On November 28, 2010 Nina Todd was leaving her mother house with her two sons, when Karli Brown struck her car head on. In result of the accident Nina’s
Edgar Allen Poe was one of the greatest writers of the nineteenth century. Perhaps he is best know for is ominous short stories. One of my personal favorites was called The Raven. Throughout his works Poe used coherent connections between symbols to encourage the reader to dig deep and find the real meaning of his writing. Poe's work is much like a puzzle, when u first see it its intact, but take apart and find there is much more to the story than you thought. The Raven, written in 1845, is a perfect example of Poe at his craziest. Poe's calculated use of symbolism is at his best in this story as each symbol coincides with the others. In The Raven, Poe explains a morbid fear of loneliness and the end of something through symbols. The symbols not only tell the story of the narrator in the poem, they also tell the true story of Poe's own loneliness in life and the hardships he faced. Connected together through imagery they tell a story of a dark world only Poe Knows exists.
Denison (2002) stated that “Japanese strive to meet the expectations of others, especially those in power. As well as Behavioral skills in the work place are more important to success than analytical skills” Another good example of how you are seen by your peers, co workers, or anyone with a position of power is important because It effects their standing and it helps their important sense of conformity. I personally find the culture interesting because it is all so different from my own culture, as well as what I've learned from my acculturation to the american culture.
According to the Delivering Health Care in America, cost shifting is a method used by insurance companies to balance inadequate payments, mostly to bridge the gap from low government reimbursement (Shi & Singh, 2015). Cost shifting is when private insurance companies charge people more to make up for the money they lose. Hospitals and other health care providers are able to compensated for the services they provide for uninsured patients by increasing payments to private insurance (Coughlin, Holahal, caswell& McGrath, 2014). Government programs such as, Medicare and Medicaid reimburse hospitals at a very low rate, according to Potter (2015) the only way hospitals can be able to keep providing care and make up for their looses
Q1. What is the difference between a 'S Options to raise equity funds. By understanding the equity base and financial statements of SRS LTD (Annual report, 2015) we can say that the company is performing better as the sales revenue is increasing every year. Company has a turnover of Rs. 3447.83 crore in 2014, which increased to Rs 6000 crore in 2015 (Batra, 2015).
Fifty percent of teen drivers have admitted to frequently using their phones while driving; twenty percent of people have said they browse the web while driving, causing eighteen percent of these accidents to result in fatal injuries. In 2013 alone 424,000 people were injured in a driving accident where the driver was texting and not paying attention to their surroundings. People are constantly on their phones, never being able to put them away which leads them to text and drive, therefore making the roads unsafe and putting everybody else on the road safety in jeopardy.
There are some matters that the student needs to consider. Firstly, the salary is the main concern of our group. Based on the information in this context, the student is advised not to accept a salary which is lower than $120 million. We also believe that this is an appropriate level of salary for the student. In addition, the company had increased its revenues by 66% last year. Thus, the company must be affordable to offer this salary to the student. Secondly, the student wants to start the job from 1st September because he intends to have a three-month holiday after his graduation in May. Thirdly, our group finds that the moving cost is also involved. The student expects the company to pay his moving cost up front, with approximately $9 million. Finally, the student also has another job offer, which is in San Francisco. This job seems to be attractive as the salary will be $108 million, plus...
The introduction of more commercially available diesel and fully electric vehicles has started to impact the sales figures of hybrids which is surprising to me because of the natural deficiencies that the hybrid vehicle has to overcome to be more effective both in environmental savings and cost savings to the end user. I believe that some combustion automobiles offer equal if not greater environmental and cost savings over hybrid vehicles. I believe this because the manufacturing and disposal process for batteries is very damaging to the earth, and the longevity of the parts is less than that of a normal vehicle. Also, if measuring environmental impact by comparing fuel consumption, many diesel cars are able to achieve greater miles per gallon than similar hybrid vehicles.
1. Anarchy is a condition in which there is a lack of a dominant power that enforces laws and sets policies at a national or international level. It directly challenges the rules of sovereignty, the expectation that the states have higher legal and political influence within their borders. Anarchy is an important term because it tends to cause disastrous effects in global politics. It is the essential element in realism, the idea that war is an inevitable result of the absence of a central authority. It outlines two principles that can lead to war: the preventive motive (war to cease the enemy from growing more powerful) and security dilemma (a rise of insecurity and fear that occurs from a state gaining more strength to defend itself).