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11. The computer output below is a product mix problem of a manufacturing company. Use the output to answer the following questions. Assume that the company wishes to maximize the profit. Variable Value Reduced Cost X₁ 0 X₂ 20 X3 0 Constraint Dual Value Slack/Surplus 40 0 10 Resource A 20 Resource B 10 Resource C 0 0 0 30 Original Lower Bound Upper Bound Value 50 20 30 Original Value 90 50 80 30 Infinity 25 Lower Bound Upper Bound 60 40 50 50 45 50 100 80 Infinity a) What is the optimal solution and the total profit for this problem? b) Determine the marginal value of an additional pound of Resource A. Over what range is this value valid?

11. The computer output below is a product mix problem of a manufacturing company. Use the output to answer the following questions. Assume that the company wishes to maximize the profit. Variable Value Reduced Cost X₁ 0 X₂ 20 X3 0 Constraint Dual Value Slack/Surplus 40 0 10 Resource A 20 Resource B 10 Resource C 0 0 0 30 Original Lower Bound Upper Bound Value 50 20 30 Original Value 90 50 80 30 Infinity 25 Lower Bound Upper Bound 60 40 50 50 45 50 100 80 Infinity a) What is the optimal solution and the total profit for this problem? b) Determine the marginal value of an additional pound of Resource A. Over what range is this value valid?

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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11. The computer output below is a product mix problem of a manufacturing company. Use the output to answer the following questions. Assume that the company wishes to maximize the profit. Variable Value Reduced Cost X₁ 0 X₂ 20 X3 0 Constraint Dual Value Slack/Surplus Resource A Resource B Resource C 40 0 10 20 10 0 0 0 30 Original Lower Bound Upper Bound Value 50 20 30 Original Value 90 50 80 30 Infinity 25 60 40 50 Lower Bound Upper Bound 50 45 50 100 80 Infinity a) What is the optimal solution and the total profit for this problem? b) Determine the marginal value of an additional pound of Resource A. Over what range is this value valid?
Transcribed Image Text:11. The computer output below is a product mix problem of a manufacturing company. Use the output to answer the following questions. Assume that the company wishes to maximize the profit. Variable Value Reduced Cost X₁ 0 X₂ 20 X3 0 Constraint Dual Value Slack/Surplus Resource A Resource B Resource C 40 0 10 20 10 0 0 0 30 Original Lower Bound Upper Bound Value 50 20 30 Original Value 90 50 80 30 Infinity 25 60 40 50 Lower Bound Upper Bound 50 45 50 100 80 Infinity a) What is the optimal solution and the total profit for this problem? b) Determine the marginal value of an additional pound of Resource A. Over what range is this value valid?
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