What is the optimal solution to the integer linear programming problem?
Consider the following integer linear programming problem:
Max Z = 3x1 + 2x2
Subject to: 3x1 + 5x2 ? 30
5x1 + 2x2 ? 28
x1 ? 8
x1, x2 ? 0 and integer
The solution to the linear programming formulation is: x1 = 5.714, x2 = 2.571.
State the optimal values of decision variables and the value of the objective function.
Answer: x1 = 4, x2 = 3, Z = 18
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