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2. A manufacturing company operates plants P1, P2, and P3 in different regions. The weekly production of these plants are as follow: Plant Weekly Production (Box) P1 1000 P2 850 P3 550 The total supply of the company is absorbed by warehouse W1, W2, and W3. Their weekly requirement is as follows: Warehouse Weekly Requirement W1 1000 W2 700 W3 850 The transportation cost (in peso) from each plant to each warehouse in given below: To From W1 W2 W3 P1 90 110 70 P2 80 50 100 P3 140 130 90 a. Formulate the transformation problem. b. Set up the initial transportation tableau from the minimum-entry method. c. Using the Northwest Corner Rule, find the initial allocation. d. Determine the shipment from each plant to each warehouse that minimizes the delivery cost using Stepping-Stone Method. Compare the optimal solution obtained in e. using Modified Distribution Method
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