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Graphical Analysis for Maximizing Profit

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See the attached file.

Graphically analyze the following problem:

Maximize profit = $4X + $6Y

Subject to:
X + 2Y (less than or equal to) 8 hours
6X + 4Y (less than or equal to) 24 hours

(a) What is the optimal solution?
(b) If the first constraint is altered to X + 3Y (less than or equal to) 9, does the feasible region or optimal solution change?

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This solution provides step by step calculations for maximizing profit.

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