Question: (a) Given the following transportation problem: Unit Transportation Cost for Regions (S/ton) 1 2 3 4 Capacity (tons) A 12 15 13 11 2000 Distribution

(a) Given the following transportation problem: Unit Transportation Cost for Regions (S/ton) 1 2 3 4 Capacity (tons) A 12 15 13 11 2000 Distribution B 8 16 12 10 2500 Center 9 17 11 13 2200 Demand (tons) 1100 2000 2100 1400 1. 11. Construct the transportation table for this problem and initialize this problem using the Northwest corner method. (5 points) What is the total cost for the initial solution? Is the initial solution optimal? (3 points) If your answer in part ii is YES, explain WHY? If your answer in part ii is NO, apply one iteration of the transportation simplex method and check whether the resulting solution is optimal or not. (7 points) 111

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