URGENT HELP PLEASE!!!

3 Question 47 (5 points) 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} f1, if project jis selected 0, otherwise X2 New warehouses problem Cost of each location Funds Ar L(51000) Profit ($1000) Contri XI LHS 150 500 100 200 120 X3 225 90 RHS X4 175 1.35 1, if project jis selected 0, otherwise New warehouses problem X2 Cost of each location Funds Ar L(51000) Profit ($1000) Comtraints Constraint 1 (Funds) Contraint 2 Contraind 3 Constraint 4 Contraint 5 Model Max Profit Number of XI 32 Purchase Plan 0 Which projects are selected? a) Project 1 Ob) Project 1 and 3 c) Project 4 XI LHS 1.50 500 100 425 DD CR > 200 120 X3 225 90 RHS X3 500 X4 X4 O 175 135 Question 46 (5 points) 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 s 500 (Constraint 1} x1 + x2 + x3 + x4 2 {Constraint 2} x2 + x4 1 [Constraint 3} x2 + x3 1 [Constraint 4} x1 = x4 [Constraint 5) [1, if project jis selected z = [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)? 0 B x2 + x3 1 [Constraint 4} x1 = x4 [Constraint 5} [1, if project jis 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 4 b) Constraint 2 c) Constraint 3 d) Constraint 5 e) Constraint 1