A fim has prepared the following binary integer peogram to evaluate arrumber of potential locations for new warehcuses. The firm's gosl is to maximize the net present value of their decision atile nat spending more than their currently available capita. I 10x220x1+30x1+30x1+25x1 st. 12x1+5x0+5x1+9x122 (Constraint 1) +x0+x1+x12 (Constraint 2} +x21 (Corsetraint 3} x1+x21 (Coristraint 3} x1+x11 (Corntraint 4} x1+x11 (Constraint x0=xn (Constraint 5) x=0,1 Solve this problem to octimality and answer the following questions: b. What is the net present value of the optimal sclution? (Round your answer to the nearest whole number.) - c. How much of the available capital will be spent (Hint Constraint. 1 enforces the avalable capital fmit)? (Round your answer to the nearest whole number.] The university administrafion woudd like to add some additional parking locations. To make everyone happy, they would like esch building to be within a 5 minute walk of one sat of new parking spaces (the spaces will be adided in blocks of 10 parking spaces). The university is considering six locations for the new parking spacas, hut would like to mirimize the overal cost of the projoct. In addition to the waking time requiremert, the uriversity would like to add at lectst 40 new parking spaces (at lestat 4 blocks of 10 ). To help with woud like to acd at lesst 40 new parking spaces (at least 4 blocks of 10 ). To help with the decision, the managernent science department formulated the following linear programming model: a. What is the minimum the triversity can spend and stil meet its gosis? (Round your anawer to the neareat whole number.) The uriversity is scheduling cleaning crews for its ten buildings. Each crew has a different. cost and is qualifed to dean crly certain buildings. There are eight possible crews to choose from in this case. The qcel is to minimize costs while making sure that each bulding programming model to help with the selection process. Set up the problem in Evoel and find the aptimel solution. a. What is the cost of the cptimal crew assignment? Cost of cpimal crew assignment. Answes b. Which crews are assigned to work? Crew 1 will Answer Crew 2 will Answer Crew 3 will Answer Crerw 4 will Answer Crew 5 will Answer Crerw 6 will Answer Crew 7 will Answer Crew 8 will