In: Statistics and Probability
Consider the following integer linear programming problem:
Max Z = 4.2x + 4.8y + 5.6z
Subject to: 4x + 2y + 7z ≤ 37
4x + 4y + 5z ≤ 40
2.8y ≤ 10
x, y, z ≥ 0 and integer
What is the optimal solution to the integer linear programming problem?
State the optimal values of decision variables.
Max Z = 4.2x + 4.8y + 5.6z
Subject to: 4x + 2y + 7z ? 37
4x + 4y + 5z ? 40
2.8y ? 10
x, y, z ? 0 and integer
The solution to the LP relaxation is: x = 3.839, y = 3.571, z = 2.071.
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