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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

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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 leexl + 126x; + 90X3 + 135X4 s.t.150x1 + 269x; + 225X3 + 175X4 s 566 [Constraint 1} X1 + X2 + X3 + X4 2 2{Constraint 2} X2 + X4 5 1{Constraint 3} X2 + X3 2 1{Constraint4} X1 X4 {Constraint 5} a: { 1, if project j is selected j : 0, otherwise Which constraint ensures that the firm will not spend more capital than it has available (assume that each potential project has a different cost)? \f

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