Consider the following linear program:

Min 8X 1 12y s.t.

1X1 3y$ 9 2X1 2y$10 6X1 2y$18

X, y $ 0

a. Use the graphical solution 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 func-

tion coefficient for y changes from 12 to 6. Does the optimal solution change? Use the

graphical solution procedure to find the new optimal solution. d. The sensitivity report for the linear program in part (a) provides the following objective coefficient range information: