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Linear Programming and Constraint and Feasible Region

Max 8X + 7Y
s.t. 15X + 4Y < 75
10X + 7Y < 70
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?

Solution Preview

please see the graph and the detailed solution in the attached file.

b) The optimal solution point can only be at the corner of the feasible region.
The four ...

Solution Summary

The solution demonstrates how to find an optimal solution for a linear programming problem.