Math 1324 - Midterm Exam -FM-C-_Fall 2008 with keys

Use the two stage method to solve the following mixed

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26. (3 points) Use the two-stage method to solve the following mixed Linear Programming problem: Maximize z = 15x 1 + 20x 2 Subject to: 1 2 1 2 1 2 2 30 40 0, 0 x x x x x x What is the maximum value of objective function w? Write your answer in the following textbox. (a) 240 (b) 450 (c) 800 (d) 600 27. (3 points) Mark, who is ill, takes vitamin pills. Each day he must have at least 16 units of vitamin A, 5 units of vitamin B, and 20 units of vitamin C. He can choose between Pill#1 which costs 15¢ and contains 8 units of A, 1 of B, and 2 of C; and Pill#2 which costs 30¢ and contains 2 units of A, 1 of B, and 7 of C. What is the minimum cost (in ¢) ? 28. (3 points) A contractor builds boathouses in two basic models: the Atlantic and Pacific. Each Atlantic model requires 1000 feet of framing lumber, 3000 cubic feet of concrete and $2000 for advertising. Each Pacific model requires 2000 feet of framing lumber, 3000 cubic feet of concrete, and $3000 for advertising. Contracts call for using at least 8000 feet of framing lumber, 18000 cubic feet of concrete, and $15000 worth of advertising. If the total spent of each Atlantic model is $3000 and the total spent on each Pacific model is $4000. How many of Atlantic model should be built to minimize cost? 29. (3 points) A contractor builds boathouses in two basic models: the Atlantic and Pacific. Each Atlantic model requires 1000 feet of framing lumber, 3000 cubic feet of concrete and $2000 for advertising. Each Pacific model requires 2000 feet of framing lumber, 3000 cubic feet of concrete, and $3000 for advertising. Contracts call for using at least 8000 feet of framing lumber, 18000 cubic feet of concrete, and $15000 worth of advertising. If the total spent of each Atlantic model is $3000 and the total spent on each Pacific model is $4000. How many of Pacific model should be built to minimize cost? 30. (3 points) A contractor builds boathouses in two basic models: the Atlantic and Pacific. Each Atlantic model requires 1000 feet of framing lumber, 3000 cubic feet of concrete and $2000 for advertising. Each Pacific model requires 2000 feet of framing lumber, 3000 cubic feet of concrete, and $3000 for advertising. Contracts call for using at least 8000 feet of framing lumber, 18000 cubic feet of concrete, and $15000 worth of advertising. If the total spent of each Atlantic model is $3000 and the total spent on each Pacific model is $4000. What is the minimum cost? (a) 21000 (b) 30000 (c) 35000 (d) 20000 ------------ END OF MIDTERM TEST ---------- This study resource was shared via CourseHero.com Powered by TCPDF ()
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