Question 3: Consider the following LP problem: Maximize Profit = 5x + 6Y Subject to: 2X + Y s 120 2x + 3y - 240 XY 2 0 a. What is the optimal solution to this problem? Solve it graphically using the corner point method. Show your graph. (4 points) b. If a technical breakthrough occurred that raised the profit per unit of Xto $8, would this affect the optimal solution? (2 points) 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