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Consider the following linear programming problem:
Maximize Profit 30X + 50Y
Subject to 4X + 5Y = 40,000
X ≥ 3,000
Y ≥ 4,000
X ≥ 0 and Y ≥ 0
1. Use a graph to show each constraint and to identify feasible region.
2. Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution?
3. From your graph, what is the optimal value of the objective function?
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