Question

A company that manufactures compressors has plants in three locations: Cleveland, Chicago, and Boston. During a week, the total capacity of each plant to produce one type of special compressor is 25, 45, and 35 units, respectively. The company wants to ship at least 40, 10, 20 and 30 units to distribution centers in Dallas, Atlanta, San Francisco, and Philadelphia respectively. The unit production and distribution costs from each plant to each distribution center are given in the table below. How many of these compressors should be shipped from each manufacturing plant to each distribution center, if the company’s goal is to minimize the total cost? (24pts)

Table: Unit production and shipping costs, availability of compressors, and demand for compressor units Distribution centers San Dallas AtlantaFrsco Philadelphia Availability Plants Cleveland Chicago Boston 25 A5 35 2 10 20 Requirements 40 10 30

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