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Graphically analyze the following problem: Maximize profit = $4X + $6Y Subject to X + 2Y < 8 hours 6X + 4Y < 24 hours

Graphically analyze the following problem:

Maximize profit = $4X + $6Y

Subject to X + 2Y < 8 hours

6X + 4Y < 24 hours

(a) what is the optimal solution?

(b) If the first constraint is altered to X + 3Y < 8, does the feasible region or optimal solution change?

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