The Simplex Solution Method Essay Example for Free

The Simplex Solution Method Essay The simplex method is a general mathematical solution technique for solving linear programming problems. In the simplex method, the model is put into the form of a table, and then a number of mathematical steps are performed on the table. These mathematical steps in effect replicate the process in graphical analysis of moving from one extreme point on the solution boundary to another. However, unlike the graphical method, in which we could simply search through all the solution points to find the best one, the simplex method moves from one better solution to another until the best one is found, and then it stops. The manual solution of a linear programming model using the simplex method can be a lengthy and tedious process.Years ago, manual application of the simplex method was the only means for solving a linear programming problem. Now computer solution is certainly preferred. However, knowledge of the simplex method can greatly enhance one’s understanding of linear programming. Computer software programs like QM for Windows or Excel spreadsheets provide solutions to linear programming problems, but they do not convey an in-depth understanding of how those solutions are derived. To a certain extent, graphical analysis provides an understanding of the solution process, and knowledge of the simplex method further expands on that understanding. In fact, computer solutions are usually derived using the simplex method. As a result, much of the terminology and notation used in computer software comes from the simplex method. Thus, for those students of management science who desire a more in-depth knowledge of linear programming, it is beneficial to study the simplex solution method as provided here.

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Brian Daniels March 12, 2014 Heart of Darkness In Heart of Darkness, Conrad presents us with two classes of â€Å"darkness†. The savage nature of the natives and the brutality of European imperialism, asking which of the two is the greater evil. In the beginning of the novel, Conrad establishes his thoughts on imperialism through the main character Marlow. The idea of â€Å"darkness† is emphasized from the title of the novel, and continues to play an important role throughout the story. Darkness governs almost everything in the novel. The secluded and harsh attitudes Europeans held towards the native’s increases the darkness throughout the novel. Conrad's novel, Heart of Darkness, is based on the historical period of imperialism in order to describe Marlow’s struggle. Marlow is asked by "the company", the organization who he works for, to travel to the Congo River and report back to them about Mr. Kurtz, a top notch officer of theirs. When he first sets sail, he doesn't know what to expect. Marlow's experience in Africa stirs hate at the brutalizing effects of colonialism, a hatred tha...

Case Problem: Stateline Shipping and Transport Company Essay

Rachel is considering using each of the plant and waste disposal sites as intermediate shipping points. Now, there is a possibility to reduce the transportation coat by utilizing alternative routes. For example, as per the given cost table, cost to transport from Kingsport to Duras is $17. Instead of this route, if we transport first from Kingsport to Macon and then from Macon to Duras the cost is only $15 (4 + 11). We have to recalculate the transportation cost considering all possibilities. For this, we are given transportation costs from various plants to plants and sites to sites in attached MS Excel Spreadsheet. Solve the model you developed in #3 (above) and clearly describe the results. Plants were labeled 1 through 6, waste facilities labeled A through C. Problem was set up in 2 Stages: Stage 1 = shipment from plants to intermediate/final location; Stage 2 = shipment from intermediate to final location. Objective function: Solver add-on solution in MS Excel yielded the following results: 19 bbl of wastes shipped from Kingsport to Macon to Duras, 16 bbl of wastes shipped from Kingsport to Los Canos, 26 bbl of wastes shipped from Danville to Los Canos, 42 bbl of wastes shipped from Macon to Duras,  17 bbl of wastes shipped from Selma to Macon to Duras, 36 bbl of wastes shipped from Selma to Columbus to Whitewater, 29 bbl of wastes shipped from Columbus to Whitewater, 38 bbl of wastes shipped from Allentown to Danville to Los Canos. Total Cost = $2,630 Interpret the results and draw conclusions that address the question posed in the case problem. What are the limits of the study? Write at least one paragraph. The results show that Rachel can save some dollars per week. Rachel can save by using a few routes that involve intermediate points. An example would be  17 bbl of wastes shipped from Selma to Macon to Duras. The cost analysis fails to consider the actual physical risks of dealing with potentially hazardous industrial waste if there is spillage. The dropping off and picking up of waste at intermediate sites may cause a time delay, which may impact the risk of the waste becoming a potential hazard. Also, the additional handling of the waste associated with loading and unloading at intermediate sites may cause increased risk of a problem. Even though Polychem has agreed to handle the wastes at no additional cost, there may be additional risk that has not been evaluated.

15 Quotes to Help You Survive the Holidays With Kids

Holiday vacations hold a special meaning for all of us. Some think of parties, a Bahamas cruise, or visiting grandma. But what if holidays spell kids-at-home-running-riot? Erma Bombeck said, Being a child at home alone is a high-risk occupation. If you call your mother at work thirteen times an hour, she can hurt you. Here are more funny quotes about holiday vacations. Erma Bombeck: No self-respecting mother would run out of intimidations on the eve of a major holiday. George Carlin: Marry an orphan: youll never have to spend boring holidays with the in-laws. Alice Cooper: The two most joyous times of the year are Christmas morning and the end of school. Roger Bannister: Our concept of a family holiday was going to a guest house in the Lake District or Wales where walking was part of the holiday. Kylie Minogue: I have had a holiday, and Id like to take it up professionally. Frank Tyger: When you like your work every day is a holiday. George Bernard Shaw: A perpetual holiday is a good working definition of hell. Sam Ewing: Vacation: Two weeks on the sunny sands - and the rest of the year on the financial rocks. George Carlin: The other night I ate at a real nice family restaurant. Every table had an argument going. Philip Andrew: To many people, holidays are not voyages of discovery, but a ritual of reassurance. Earl Wilson: A vacation is what you take when you can no longer take what youve been taking. Elbert Hubbard: No man needs a vacation so much as the person who has just had one. Kenneth Grahame: After all, the best part of a holiday is perhaps not so much to be resting yourself, as to see all the other fellows busy working. Dave Barry: The best time to go (to Disney World), if you want to avoid huge crowds, is 1962. Raymond Duncan: A lot of parents pack up their troubles and send them off to summer camp.