Problem 2 The distribution system for the Gwinn Corporation consists of three plants (A, B, and C), two warehouses (D and E), and four customers (W, X, Y, and Z). Customer W Plant A Warehouse D Customer X Plant B Warehouse E Customer Y Plant C Customer Z The 3 manufacturing plants ship to the 2 warehouses. The 2 warehouses ship to the 4 customers. The supply, demand, and unit shipping cost information are given in the table. Set up and solve the transportation problem to minimize total shipping costs. Plant Supply Store Demand Warehouse Capacity A 500 W 450 D 725 B 550 X 300 E 725 C 400 Y 300 Z 400 Per unit shipping costs Per unit shipping costs D E W X Y Z A 4 7 D 6 5 8 4 B 8 5 E 3 6 7 7 C 6 6 1. How many units should be shipped from Plant A to Distribution Center D? 2. How many units should be shipped from Plant C to Distribution Center E? 3. What is the evaluation (E=C-U-V) for cell Plant B to Distribution Center D? 4. Is the Initial Feasible solution for shipping from plants to distribution centers optimal? a. Yes b. No 5. What is the total shipping cost from the three plants to the two distribution centers? 6. How many units should be shipped from Distribution Center E to Customer Y? 7. What is the evaluation for cell Distribution Center E to Customer Z? 8. Is the Initial Feasible solution for shipping from distribution centers to customers optimal? a. Yes b. No 9. What is the total shipping costs from the distributions centers to customers? 10. What is the total shipping costs for the entire system, from the manufacturing plants to the end customers?