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A company has two factories in Adana and Afyon with supplies of 150 per day and 200 per day respectively. The company wants to meet the demands of their customers in stanbul and zmir with a demand of 130 per day for both the cities. The company believes that it may be cheaper to transport the goods via Ankara and Eskiehir. Ankara, besides being a transshipment point, has a demand of 40 per day and Eskiehir has a demand of 100 per day. The shipping costs are given below. Cost (L) Adana Ankara Eskiehir stanbul zmir 8 13 25 28 Afyon 15 12 26 25 Ankara Eskiehir 0 4 4 16 17 0 14 16 There are also costs of unsatisfied demands as 30 , 25 , 20 and 23 for Ankara, Eskiehir, stanbul and zmir respectively. a. Construct the initial transportation simplex tableau. b. Find an initial solution by the Northwest-corner method and calculate the corresponding dual solution (i.e. u, and v, values). C. In the optimum solution, the variables corresponding to the flow Ankara-Ankara and the flow Eskiehir-Eskiehir have the values 290 and 400 respectively. Interpret these values.