Does the optimal solution change if the profit per unit of, Operation Management

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Does the optimal solution change if the profit per unit of

Graph the following LP problem and indicate the optimal solution point:

Maximize profit= $3X + 2Y

Subject to 2X+ Y ≤ 150 2X + 3Y ≤ 300

a) Does the optimal solution change if the profit per unit of X changes to $4.50?

b ) What happens if the profit function should have been $3X + 3Y?

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