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A use a graph to show each constraint and the feasible

Given the following LP Model,

Max 20X + 10Y

s.t.

12X + 15Y ≤ 180

15X + 10Y ≤ 150

3X - 8Y ≤ 0

X , Y ≥ 0

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

b. Identify the optimal solution point on your graph.

c. Which constraints are binding?

c. What are the values of X and Y at the optimal solution?

d. What is the optimal value of the objective function?

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Mathematics: A use a graph to show each constraint and the feasible

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