Question: Consider the following LP problem: Maximize profit = 5X + 6Y Subject to 2X + Y 120 2X + 3Y 240 X, Y

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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