A manufacturing company has three warehouses and four retail outlets. The monthly demand at each retail outlet is 100, 150, 200, and 250 units, respectively. The monthly supply from each warehouse is 300, 250, and 200 units, respectively. The transportation cost per unit from each warehouse to each retail outlet is given in the following table: From/To Retail outlet 1 Retail outlet 2 Retail outlet 3 Retail outlet 4 Warehouse 1 5 6 7 8 Warehouse 2 4 5 6 7 Warehouse 3 3 4 5 6 Using the above information, answer the following questions: a) Draw a well labelled network diagram of the manufacturing company B. Establish the decision variables of the transportation problem. C. Formulate a transportation problem to determine the optimal allocation of supplies from the warehouses to the retail outlets to minimize total transportation cost. D. Using the North West Corner Rule (NWC), find the minimum total cost.
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