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APPROACH Formulate this production-mix situation as an LP problem. The production manager first specifies production levels for each product for the coming month. He lets: Xị = number of units of XJ201 produced X; = number of units of XM897 produced X3 = number of units of TR29 produced X4 = number of units of BR788 produced SOLUTION The LP formulation is: Objective: Maximize profit = 9X1 + 12X, + 15X3 + 11X4 subject to: 5x, + 1.5X2 + 1.5Xz + 1X4 < 1,500 hours of wiring available 3X, + 1X, + 2X3 + 3X s 2,350 hours of drilling available 2X, + 4X2 + 1X3 + 2X4 s 2,600 hours of assembly available .5X, + 1X, + 5X + .5X4 s 1,200 hours of inspection X1 2 150 units of XJ201 X, 2 100 units of XM897 X3 2 200 units of TR29 X4 2 400 units of BR788 X1, X2, X3, Xg 2 0

APPROACH Formulate this production-mix situation as an LP problem. The production manager first specifies production levels for each product for the coming month. He lets: Xị = number of units of XJ201 produced X; = number of units of XM897 produced X3 = number of units of TR29 produced X4 = number of units of BR788 produced SOLUTION The LP formulation is: Objective: Maximize profit = 9X1 + 12X, + 15X3 + 11X4 subject to: 5x, + 1.5X2 + 1.5Xz + 1X4 < 1,500 hours of wiring available 3X, + 1X, + 2X3 + 3X s 2,350 hours of drilling available 2X, + 4X2 + 1X3 + 2X4 s 2,600 hours of assembly available .5X, + 1X, + 5X + .5X4 s 1,200 hours of inspection X1 2 150 units of XJ201 X, 2 100 units of XM897 X3 2 200 units of TR29 X4 2 400 units of BR788 X1, X2, X3, Xg 2 0

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Solve this LP problem as formulated. What is the solution?

(NOTE: see attached images for the problem and its infos. Please answer it with solutions. Thank you so much!! Godbless!)

INSIGHT There can be numerous constraints in an LP problem. The constraint right-hand sides may be in different units, but the objective function uses one common unit-dollars of profit, in this case. Because there are more than two decision variables, this problem is not solved graphically.
Transcribed Image Text:INSIGHT There can be numerous constraints in an LP problem. The constraint right-hand sides may be in different units, but the objective function uses one common unit-dollars of profit, in this case. Because there are more than two decision variables, this problem is not solved graphically.
APPROACH Formulate this production-mix situation as an LP problem. The production manager first specifies production levels for each product for the coming month. He lets: X = number of units of XJ201 produced X2 = number of units of XM897 produced X3 = number of units of TR29 produced X4 = number of units of BR788 produced SOLUTION The LP formulation is: Objective: Maximize profit = 9X1 + 12X2 + 15X3 + 11X4 subject to: .5X, + 1.5X2 + 1.5X3 + 1X4 s 1,500 hours of wiring available 3X1 + 1X2 + 2X, + 3X4 s 2,350 hours of drilling available + 2X4 s 2,600 hours of assembly available 2X1 + 4X2 + 1X3 .5X1 + 1X2 + 5X3 + .5X4 s 1,200 hours of inspection X1 2 150 units of XJ201 X2 2 100 units of XM897 X3 2 200 units of TR29 X4 2 400 units of BR788 X1, X3, X3, X4 2 0
Transcribed Image Text:APPROACH Formulate this production-mix situation as an LP problem. The production manager first specifies production levels for each product for the coming month. He lets: X = number of units of XJ201 produced X2 = number of units of XM897 produced X3 = number of units of TR29 produced X4 = number of units of BR788 produced SOLUTION The LP formulation is: Objective: Maximize profit = 9X1 + 12X2 + 15X3 + 11X4 subject to: .5X, + 1.5X2 + 1.5X3 + 1X4 s 1,500 hours of wiring available 3X1 + 1X2 + 2X, + 3X4 s 2,350 hours of drilling available + 2X4 s 2,600 hours of assembly available 2X1 + 4X2 + 1X3 .5X1 + 1X2 + 5X3 + .5X4 s 1,200 hours of inspection X1 2 150 units of XJ201 X2 2 100 units of XM897 X3 2 200 units of TR29 X4 2 400 units of BR788 X1, X3, X3, X4 2 0
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