Question: A firm has prepared the following binary integer program to evaluate a number of potential new capital projects. The firm's goal is to maximize the

A firm has prepared the following binary integer program to evaluate a number of potential new capital projects. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital.

Max 20x1 + 30x2 + 10x3 + 15x4

s.t. 5x1 + 7x2 + 12x3 + 11x4 21 {Constraint 1}

x1 + x2 + x3 + x4 2 {Constraint 2}

x1 + x2 1 {Constraint 3}

x1 + x3 1 {Constraint 4}

x2 = x4 {Constraint 5}

Which of the constraints ensures that at least two of the potential projects will be selected?

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