Question: Consider the following integer linear programming problem: Max Z = 3 x + 2y Subject to: 3 x + 5 y ? 30 4 x

Consider the following integer linear programming problem:

Max Z = 3x + 2y

Subject to: 3x + 5y ? 30

4x + 2y ? 28

x ? 8

x , y ? 0 and integer

The solution to the linear programming formulation is: x = 5.714, y = 2.571.

What is the optimal solution to the integer linear programming problem? State the optimal values of decision variables.

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