Work Questions 1 using the information in question 20 and choose from the selected answers below. Show work if possible.

20. During the war with Iraq in 1991, the Terraco Motor Company produced a lightweight, all-terrain vehicle code-named "199 Terra" for the military. The company is now planning to sell the Terra to the public. It has five plants that manufacture the vehicle and four regional distribution centers. The company is unsure of public demand for the Terra, so it is considering reducing its fixed oper- ating costs by closing one or more plants, even though it would incur an increase in transportation costs. The relevant costs for the problem are provided in the following table. The transportation costs are per thousand vehicles shipped; for example, the cost of shipping 1,000 vehicles from plant I to warehouse C is $32,000. Transportation Costs ($1,000s) to Warehouse From Plant A B C D Annual Production Capacity 12.000 18,000 $56 1 2 3 4 5 $21 46 71 24 50 18 12 30 45 $32 7 41 61 26 Annual Fixed Operating Costs $2,100,000 850,000 1,800,000 1,100,000 900.000 $65 35 52 28 31 14,000 700 10,000 16,000 Annual Demand 6,000 14,000 8,000 10,000 38.000 Formulate and solve an integer programming model for this problem to assist the company in determining which plants should remain open and which should be closed and the number of vehicles that should be shipped from each plant to each warehouse to minimize total cost. QUESTION 1 Ch5, problem 20: Complete this problem as indicated in the text and select the best answer to the following: The decision variables for this model have the form xi.j = vehicles in thousands shipped from plant i to warehouse j where i =1,2,3,4,5 and j = A.B.C.D. yi = plant i with possible values of 0 or 1. What is the objective function for this problem? OZ = 1,100,000y1+750,000y2+1,700,000y3+1,000,000y4+1,000,000y5 +65x1,A+12x1,B+23x1,C+56x1,D+80x2, A+62x2,B+55x2.C+42x2,0 +12x3,A+71x3,B+41x3,C+52x3, D+30x4 A+24x4,B+61x4.C+28x4,D +45x5,A+50x5.B+26x5,C+31x5,D OZ = 2,100,000y1+850.000y2+1,800,000y3+1,100,000y4+900,000y5 +56x1,A+21x1,B+32x1,C+65x1,D+18x2, A+46x2,B+70x2.C+35x2,D +12x3, A+71x3,B+41x3.C+52x3,D+30x4, A+24x4,B+61x4.C+28x4,D +45x5, A+50x5,B+26x5, C+31x5,D OZ = 3,100,000y1+950,000y2+1,900,000y3+1,200,000y4+800,000y5 +56x1,A+21x1,B+32x1,C+65x1,D+18x2 A+46x2,B+70x2.C+35x2,D +45x3,A+50x3.B+26x3.C+31x3,D+55x4, A+42x4,B+16x4.C+54x4,D +28x5, A+41x5,B+32x5, C+16x5, D OZ = 4,100,000y1+650,000y2+1,500,000y3+1,300,000y4+700,000y5 +56x1,A+21x1,B+32x1, C+65x1,D+18x2,A+46x2,B+70x2.C+35x2,D +12x3, A+71x3,B+41x3.C+52x3, D+30x4, A+24x4,B+61x4.C+28x4.D +45x5, A+50x5, B+26x5,C+31x5,D