Question: Consider the following linear program:
Min 8X + 12Y
s.t. 1X + 3Y >= 9
2X + 2Y >= 10
6X + 2Y >= 18 x,y >= 0
(a) Use the graphical procedure to find the optimal solution
(b) Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution.
(c) Assume that the objective function coefficient for X remains 8, but the objective function for Y changes from 12 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution.