Question: Suppose that a mathematical model fits linear programming except for the restrictions that 1. At least one of the following two inequalities holds: 3x1

Suppose that a mathematical model fits linear programming except for the restrictions that 1. At least one of the following two inequalities holds:

3x1  x2  x3 x4 12 x1 x2 x3 x4 15.

2. At least two of the following three inequalities holds:

2x1 5x2  x3 x4 30

x1 3x2 5x3 x4 40 3x1  x2 3x3  x4 60.

Show how to reformulate these restrictions to fit an MIP model.

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