The Pelican Company has four distribution centers (A, B, C, and D) that require 40,000, 60,000. 30,000 and 50,000 gallons of diesel fuel, respectively, per month for their long-haul trucks. Three fuel wholesalers (1. 2, and 3) indicated their willingness to supply as many as 50,000, 70,000, and 60,000 gallons of fuel, respectively. The total cost (shipping plus price) of delivering 1000 gallons of fuel from each wholesaler to each distribution center is shown in the following table:

a. Determine the optimal solution. Show that all capacities have been exhausted and that all demands can be met with this solution.
b. What is the total cost of thesolution?

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Plant CapacityWarehouseDemand Chicago Houston New plant (cases per week) 10,000 7,500 8,000 Miamit Denver Lincoln Jackson (cases per week) 7,000 9,000 4,500 5,000 Total 25,500 Total 25,500