Arteck Enterprises manufactures the central processing unit (CPU) for a line of personal computers. The CPUs are manufactured in Seattle, Columbus, and New York and shipped to warehouses in Pittsburgh, Mobile, Denver, Los Angeles, and Washington, D.C., for further distribution. The following table shows the number of CPUs available at each plant, the number of CPUs required by each warehouse, and the shipping costs (dollars per unit): Warehouses Plant. Pittsburgh. Mobile Denver Los Washington CPUS Angeles Available Seattle 10 5 9 10 9000 Columbus 2 8 30 6 4000 New York 20 7 10 4 8000 CPUs demand 1500 5000 4000 6000 3000 A. Develop a network representation of this problem and the transportation Tableau of the system B. Use the POM/QM software and determine the amount that should be shipped from each plant to each warehouse to minimize the total shipping cost. 20 10 C. The Pittsburgh warehouse just increased its order by 2000 units, and Arteck authorized the Columbus plant to increase its production to meet then demand. How much more the plant in Columbus must produce? Will this production increase lead to an increase or decrease in total shipping costs? Solve for the new optimal solution D. Answer question B if manufacturing costs per unit CPU are $75/unit, S72/unit and S78/unit in Seatle, Columbus, and New York respectively