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Consider the Following Linear Programming Problem

question 5

Essay

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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