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Consider the following LP problem: Maximum utility: 8x + 9y 4x + 3y < 150 2x + 3y < 260 x,y > 0 1. What is the optimal solution for this problem? Solve it graphically. 2. b) If a major technical advance occurred that raised the profit per unit of X to $12, would this affect the optimal solution? 3. c) Instead of an increase in the utility coefficient X to $5, suppose that the utility was overestimated and should have been only $3. Does this change the optimal solution?

Consider the following LP problem: Maximum utility: 8x + 9y 4x + 3y < 150 2x + 3y < 260 x,y > 0 1. What is the optimal solution for this problem? Solve it graphically. 2. b) If a major technical advance occurred that raised the profit per unit of X to $12, would this affect the optimal solution? 3. c) Instead of an increase in the utility coefficient X to $5, suppose that the utility was overestimated and should have been only $3. Does this change 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
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Consider the following LP problem: Maximum utility: 8x + 9y 4x + 3y < 150 2x + 3y < 260 x,y > 0 1. What is the optimal solution for this problem? Solve it graphically. 2. b) If a major technical advance occurred that raised the profit per unit of X to $12, would this affect the optimal solution? 3. c) Instead of an increase in the utility coefficient X to $5, suppose that the utility was overestimated and should have been only $3. Does this change the optimal solution?
Transcribed Image Text:Consider the following LP problem: Maximum utility: 8x + 9y 4x + 3y < 150 2x + 3y < 260 x,y > 0 1. What is the optimal solution for this problem? Solve it graphically. 2. b) If a major technical advance occurred that raised the profit per unit of X to $12, would this affect the optimal solution? 3. c) Instead of an increase in the utility coefficient X to $5, suppose that the utility was overestimated and should have been only $3. Does this change the optimal solution?
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