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 100x1 + 120x2 + 90x3 + 135x4 s.t. 150x1 + 200x2 + 225x3 + 175x4 ≤ 500 {Constraint 1} x1 + x2 + x3 + x4 ≥ 2 {Constraint 2} x2 + x4 ≤ 1 {Constraint 3} x2 + x3 ≥ 1 {Constraint 4} x1 = x4 {Constraint 5}   Which of the constraints ensures that at least two of the potential projects will be selected? Constraint 4 Constraint 5 Constraint 1 Constraint 3 Constraint 2

Linear Algebra: A Modern Introduction
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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 100x1 + 120x2 + 90x3 + 135x4

s.t. 150x1 + 200x2 + 225x3 + 175x4 ≤ 500 {Constraint 1}

x1 + x2 + x3 + x4 ≥ 2 {Constraint 2}

x2 + x4 ≤ 1 {Constraint 3}

x2 + x3 ≥ 1 {Constraint 4}

x1 = x4 {Constraint 5}

 

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

Constraint 4
Constraint 5
Constraint 1
Constraint 3
Constraint 2
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