# Integer programming problem

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Assistance with a sample integer linear programming problem.

Max Z = 3x1 + 2x2

Subject to: 3x1 + 5x2 <= 30

4x1 = 2x2 <= 28

x1 <= 8

x1, x2 >= 0 and integer

The solution to the linear programming relaxation is x1 = 5.714, x2 = 2.571.

What would be the optimal solution to the integer linear programming problem; and state the value of the objective function Z.

Please explain step by step to this.

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