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9. Sony, a television company, has three major departments for the manufacture of its two models, A and B. The monthly capacities are given as follows. Per Unit Time Requirement (hours) Department I Department II Department III Model A Required: 4.0 2.5 4.5 Model B 2.0 1.0 1.5 Hours Available this Month 1,600 1,200 1,600 The marginal profit per unit from model A is Birr 400 and that of model B is Birr 100 per unit. By assuming that the company can sell any quantity of either product due to favorable market conditions, determine the optimum output for both the models, the highest possible profit for this month in the three departments. a) Formulate the model for LPM b) Solve the LPM using graphical method and interpret the optimal solution.

9. Sony, a television company, has three major departments for the manufacture of its two models, A and B. The monthly capacities are given as follows. Per Unit Time Requirement (hours) Department I Department II Department III Model A Required: 4.0 2.5 4.5 Model B 2.0 1.0 1.5 Hours Available this Month 1,600 1,200 1,600 The marginal profit per unit from model A is Birr 400 and that of model B is Birr 100 per unit. By assuming that the company can sell any quantity of either product due to favorable market conditions, determine the optimum output for both the models, the highest possible profit for this month in the three departments. a) Formulate the model for LPM b) Solve the LPM using graphical method and interpret the optimal solution.

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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9. Sony, a television company, has three major departments for the manufacture of its two models, A and B. The monthly capacities are given as follows. Per Unit Time Requirement (hours) Department I Department II Department III Model A Required: 4.0 2.5 4.5 Model B 2.0 1.0 1.5 Hours Available this Month 1,600 1,200 1,600 The marginal profit per unit from model A is Birr 400 and that of model B is Birr 100 per unit. By assuming that the company can sell any quantity of either product due to favorable market conditions, determine the optimum output for both the models, the highest possible profit for this month in the three departments. a) Formulate the model for LPM b) Solve the LPM using graphical method and interpret the optimal solution.
Transcribed Image Text:9. Sony, a television company, has three major departments for the manufacture of its two models, A and B. The monthly capacities are given as follows. Per Unit Time Requirement (hours) Department I Department II Department III Model A Required: 4.0 2.5 4.5 Model B 2.0 1.0 1.5 Hours Available this Month 1,600 1,200 1,600 The marginal profit per unit from model A is Birr 400 and that of model B is Birr 100 per unit. By assuming that the company can sell any quantity of either product due to favorable market conditions, determine the optimum output for both the models, the highest possible profit for this month in the three departments. a) Formulate the model for LPM b) Solve the LPM using graphical method and interpret the optimal solution.
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