Use the graphical procedure to find the optimal solution, Operation Management

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Use the graphical procedure to find 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) 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.

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Operation Management: Use the graphical procedure to find the optimal solution

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