Question: Consider the following linear program: Min 8X+12Y s.t. 1X+3Y 9 2X+2Y 10 6X+2Y 18 A,B 0 Assume that the objective function coefficient for X remains

Consider the following linear program:

Min 8X+12Y

s.t.

1X+3Y 9

2X+2Y 10

6X+2Y 18

A,B 0

Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from 12 to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution.

(please explain your process, thank you)

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