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?
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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:7-31 Consider the following LP problem:
Maximize profit = 5X +
6Y
subject to
2X +
Y < 120
2х +
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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