# integer (linear) programming model problem

Solve the following integer (linear) programming model problem graphically by manual hand-drawn construction of the graph.

Minimize 6X + 11Y

Subject to 9X + 3Y > 27

7X + 6Y > 42

4X + 8Y > 32

X, Y > 0 and integer

a. Graph the constraints for this problem. Indicate all feasible solutions.

b. Find the optimal solution to the LP model without integer restrictions. Round up to find a feasible integer solution. Is this solution optimal?

c. Find the optimal solution for the original model as given.

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#### Solution Preview

Solve the following integer (linear) programming model problem graphically by manual hand-drawn construction of the graph.

Minimize 6X + 11Y

Subject to 9X + 3Y >= 27

7X + 6Y >= 42

4X + 8Y >= 32

X, Y >= 0 and integer

a. Graph the constraints for this ...

#### Solution Summary

An integer (linear) programming model problem is solved graphically by manual hand-drawn construction of the graph.