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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