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Consider the following linear programming problem Max 8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X + Y <

Consider the following linear programming problem Max 8X + 7Y s.t. 15X + 5Y < 75 10X + 6Y < 60 X + Y < 8 X, Y ≥ 0

a. Use a graph to show each constraint and the feasible region.

b. Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution?

c. What is the optimal value of the objective function

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