Consider the following LP problem: Maximize profit = 5X + 6Y Subject to 2X + Y

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Consider the following LP problem:

Maximize profit = 5X + 6Y

Subject to 2X + Y ≤ 120

2X + 3Y ≤ 240

X, Y ≥ 0

(a) What is the optimal solution to this problem? Solve it graphically.

(b) If a technical breakthrough occurred that raised the profit per unit of X to $8, would this affect the optimal solution?

(c) Instead of an increase in the profit coefficient X to $8, suppose that profit was overestimated and should only have been $3. Does this change the optimal solution?

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Quantitative Analysis for Management

ISBN: 978-0132149112

11th Edition

Authors: Barry render, Ralph m. stair, Michael e. Hanna

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Question Posted: Aug 31, 2012 06:23 AM

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Consider the following LP problem: Maximize profit = 5X + 6Y Subject to 2X + Y

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a The corner points and profits are X 0 Y 0 profit 0 X ...View the full answer

Quantitative Analysis for Management

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