hw5Solution - Solution: HW 5 6.3-5 (8 th edition) 4.1.(8 th...

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Unformatted text preview: Solution: HW 5 6.3-5 (8 th edition) 4.1.(8 th edition) Only part b) (no need to show that part b) produces the same result as part a) 3 Carco manufactures cars and trucks. Each car contributes $300 to profit and each truck, $400. The resources required to manufacture a car and truck are shown in the table below. Each day, Carco can rent up to 98 type 1 machines at a cost of $50 per machine. At present, the company has 73 type 2 machines and 260 tons of steel available. Marketing considerations dictate that at least 88 cars and at least 26 trucks be produced. Let X1 number cars produce daily X2 number of trucks produced daily M1 type 1 machines rented daily Days on Type 1 Machine Days on Type 2 Machine Tons of steel Car 0.8 0.6 2 Truck 1 0.7 3 To maximize profit, Carco should solve the following LP (its okay to get fractional solutions this is only for planning purposes). Max 300 X1 + 400 X2 50 M1 Subject to: 0.8 X1 + X2 M1 <= 0; M1 <= 98; 0.6 X1 + 0.7 X2 <= 73; 2 X1 + 3 X2 <= 260; X1 >= 88; X2 >= 26; X1 >=0; X2 >=0; a) Formulate the dual problem. b) Solve the problem using MPL. Use the MPL output to answer the questions below. c) If cars contributed $310 to profit, what would be the new optimal solution to the problem? d) What is the most that Carco should be willing to pay to rent an additional type 1 machine for 1 day?...
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This note was uploaded on 02/25/2011 for the course AEM 4120 taught by Professor Gomes,c. during the Fall '08 term at Cornell University (Engineering School).

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hw5Solution - Solution: HW 5 6.3-5 (8 th edition) 4.1.(8 th...

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