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 100×1 + 120×2 + 90×3 + 135×4 s.t. 150×1 + 200×2 + 225×3 + 175×4 ≤ 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 selected ; 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)?   A. Constraint 1 B.Constraint 2 C.Constraint 3 D.Constraint 4 E.Constraint 5

 

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 + 120x+ 90x3 + 135x4
s.t. 150x1 + 200x2 + 225x3 + 175x4 ≤ 500 {Constraint 1}
x1 + xx3 + x4 ≥ 2 {Constraint 2}
x2 + x4 ≤ 1 {Constraint 3}
x2 + x≥ 1 {Constraint 4}
x= x4 {Constraint 5}
xj = { 1, if project j is selected ; 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)?

 
A. Constraint 1
B.Constraint 2
C.Constraint 3
D.Constraint 4
E.Constraint 5
 

 

 

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