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Unformatted text preview: MATH230 Spring 2006 Final Exam a Name:________________________________ Section:___________ Instructions: 1. Do not start until instructed to do so. 2. You may use a calculator and four 3x5 cards (front and back) with notes, but nothing else. 3. SHOW ALL WORK to receive full credit. 4. Clearly indicate your answers. 5. The work you turn in must be your own. 1 1. 5 points Let = d c b a A . Show that  = a c b d bc ad 1 1 A . 2 Questions 2 – 3 : Creative Crate Company makes crates for mirrors, bulletin boards, and cabinets from plywood and cardboard. The material requirements for each item are shown below along with the weekly supplies and unit profit amounts. Mirror crate Bulletin board crate Cabinet crate Weekly Supply plywood (square feet) 17 5 500 cardboard (square feet) 20 60 50 2700 Profit per crate $5 $2 $10 2. 6 points How many crates of each type should be made to maximize profit? Formulate this problem as a linear programming problem with slack variables. Be sure to define each decision variable. 3. 3 points Find the initial simplex tableau. 3 Questions 4 – 7 : Consider the following simplex tableaus. In each case, x, y, and z refer to decision variables, u, v, and w refer to slack variables, and p is the objective function.variables, u, v, and w refer to slack variables, and p is the objective function....
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 Spring '08
 CRISSINGER
 Math, Optimization, Interest, Markov chain, Creative Crate Company

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