Consider the following linear program: Min 8X + 12Y s.t. 1X + 3Y> = 9 2X + 2Y> = 10 6X + 2Y> = 18 X,Y> =0 a. if the objective function coefficient to X changes from 8 to 6, does the optimal solution...

Consider the following linear program:
Min 8X + 12Y
s.t.

1X + 3Y> = 9
2X + 2Y> = 10
6X + 2Y> = 18
X,Y> =0

a. if the objective function coefficient to X changes from 8 to 6, does the optimal solution change? No Yes

b. If the objective function coefficient to Y changes from 12 to 6, does the optimal solution

change? No Yes