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 100 x 1 120 x 2 90 x 3 135 x 4 s t 150 x 1 200 x 2 225 x 3 175 x 4 500 Constraint 1 x 1 x 2 x 3 x 4 2 Constraint 2 x 2 x 4 1 Constraint 3 x 2 x 3 1 Constraint 4 x 1 x 4 Constraint 5 xj 1, if project j is selected0, otherwisexj 1, if project j is selected0, otherwise Which of the constraints enforces a mutually exclusive relationship Multiple Choice Constraint 1 Constraint 2 Constraint 3 Constraint 4 Constraint 5

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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 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} xj={1, if project j is selected0, otherwisexj=1, if project j is selected0, otherwise Which of the constraints enforces a mutually exclusive relationship?

Multiple Choice

Constraint 1

Constraint 2

Constraint 3

Constraint 4

Constraint 5

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