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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

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,otherwise

which of the constraints enforces a mutually exclusive relationship?

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