Consider the following linear program:
Min 8x +12y
s.t.
1x + 3y > or equal to 9
2x + 2y > or equal to 10
6x + 2y > or equal to18
A,B > or equal to 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 newoptimal solution.
c) Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from12 to 6. Does the optimal solution change?Use the graphical solution procedure to find the new optimal solution.