Consider the following linear programming problem use a, Operation Management

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Consider the following linear programming problem use a

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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