PROBLEM 2: A company is trying to design a distribution syslem to ship products from its three manufacturing plants to four retail outlets. They are considering setting up of one or two intermediate warehouses to reduce the operational shipping cost as well as provide timely shipments to its retail outlets. The company has identified two potential locations Warehouse-1 (W1) and Warehouse-2 (W2). Table below gives the monthly fixed cost of operating a warehouse (if open). Monthly Plant capacities and shipping costs per unit (in dollars) from each plant to each warehouse are as follows: The monthly demand at each retail outlet and shipping costs per unit (in dollars) from each warehouse to each outlet are: In addition, due to its proximity, a direct shipment can also be made from Plant 3 to Customer 4 at a cost of $10 /unit. (a) Develop a network representation of this distribution system