prombem 7-31 and 7-32 --please show ALL working. please do not use excel to show working. only Graph can be done in excel. Also can i have work out step by step. thank you so much. You

You can use the graph from 7--31 to answer 7-32.

7-31 Consider the following LP problem: Maximize profit = 5X + 6Y subject to 2X+ Y = 120 2X + 3Y = 240 X.Y20 (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? KIC : 7-32 Consider the LP formulation given in Problem 7-31. If the second constraint is changed from 2X + 3Y = 240 to 2X + 4Y = 240, what effect will this have on the optimal solution