Problem 1. (85 points) The Cosmic Computer Company (CCC) has three microcomputer assembly plants. The one located in San Francisco has a monthly production capacity of 1700 units, the one in Los Angeles 2000 units, and the one in Phoenix 1700 units. The microcomputers are sold through four retail stores. The one located in San Diego has placed an order of 1700 units for the coming month, the one located in Barstow 1000 units, the one Tucson 1500 units, and the one in Dallas 1200 units. The cost of shipping one microcomputer from each assembly plant to each of the different retail stores is given in the following table ($ per microcomputer): Stores Plants San Diego Barstow Tucson Dallas San Francisco 3 2 6 Los Angeles 4 7 8 10 Phoenix 6 5 3 8 Letting tij be the number of microcomputers shipped from plant i to store j, CCC would like to solve a transportation problem that would minimize the total shipping cost of transporting computers from plants to stores. Formulate the corresponding linear programming problem. (You do NOT need to numerically solve using MS Excel.) To facilitate grading, please let San Francisco, Los Angeles, and Phoenix reference to plants 1, 2, and 3, respectively. Please also let San Diego, Barstow, Tucson, and Dallas refer to stores 1, 2, 3, and 4, respectively. 5 N