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PROBLEM 4 The Pee Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different sizes. Currently the firm has a contract to produce three products. The contract calls for 400 units of product 1; 570 units of product 2; and 320 units of product 3. The time (in minutes) required for each product to be produced on each machine is as follows:

PROBLEM 4 The Pee Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different sizes. Currently the firm has a contract to produce three products. The contract calls for 400 units of product 1; 570 units of product 2; and 320 units of product 3. The time (in minutes) required for each product to be produced on each machine is as follows:

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter3: Introduction To Linear Programming
Section: Chapter Questions
Problem 38RP
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PROBLEM 4 The Pee Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different sizes. Currently the firm has a contract to produce three products. The contract calls for 400 units of product 1; 570 units of product 2; and 320 units of product 3. The time (in minutes) required for each product to be produced on each machine is as follows: Product 1 2 3 1 35 Product 1 2 3 40 38 1 P78 Machine 67 84 2 41 36 37 Machine 1 is available for 150 hours, machine 2 for 240 hours, machine 3 for 200 hours, and machine 4 for 250 hours. The products also result in different profits, according to the machine they are produced on, because of time, waste, and operating cost. The profit per unit per machine for each product is summarized as follows: Machine 3 34 32 33 2 P78 89 81 4 39 43 40 3 P82 92 90 4 P79 63 58 The company wants to know how many units of each product to produce on each machine to maximize profit. Solve the model by using the computer.
Transcribed Image Text:PROBLEM 4 The Pee Tool Shop has four heavy presses it uses to stamp out prefabricated metal covers and housings for electronic consumer products. All four presses operate differently and are of different sizes. Currently the firm has a contract to produce three products. The contract calls for 400 units of product 1; 570 units of product 2; and 320 units of product 3. The time (in minutes) required for each product to be produced on each machine is as follows: Product 1 2 3 1 35 Product 1 2 3 40 38 1 P78 Machine 67 84 2 41 36 37 Machine 1 is available for 150 hours, machine 2 for 240 hours, machine 3 for 200 hours, and machine 4 for 250 hours. The products also result in different profits, according to the machine they are produced on, because of time, waste, and operating cost. The profit per unit per machine for each product is summarized as follows: Machine 3 34 32 33 2 P78 89 81 4 39 43 40 3 P82 92 90 4 P79 63 58 The company wants to know how many units of each product to produce on each machine to maximize profit. Solve the model by using the computer.
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