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Problem 14-9 Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used as a raw material by manufacturers of plastic goods around the U.S. SP currently operates four manufacturing centers in Philadelphia, PA: Atlanta, GA; St. Louis, MO, and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. MAXIMUM CAPACITY (* 100,000 LBS.) 8.2 PLANT Philadelphia Atlanta St. Louis Salt Lake City PROD. COST (PER 1,000 LBS.) $323.00 $273.00 $303.00 $248.00 9,2 12.1 10.1 SP currently has six contract customers located in New York City, Birmingham, AL; Terre Haute, IN; Dallas, TX; Spokane, WA, and San Diego, CA. Transportation costs between the plants and various customers, as well as contracted demand from each customer, are shown in the table below. NYC $47 $54 SAN DIEGO $86 44 TRANSPORT COSTS PER 1.000 LBS. BIRMINGHAM TERRE HAUTE DALLAS SPOKANE $58 $64 $71 73 52 56 58 73 416 927 602 327 FROM/TO Philadelphia Atlanta St. Louis Salt Lake City Total Demand (* 1,000 lbs.) 83 59 62 51 71 61 402 527 a. Create a solver model and find the optimal solution to help SP develop a distribution plan that will minimize costs to supply the customers' demand. (Enter your answers in terms of cost per 1,000 lbs and shipment quantities per 1,000 lbs. Round your answers to the nearest whole number.) NYC Combined Costs Per 1,000 lbs. Terre Haute Dallas Birmingham Spokane San Diego $ From/To Philadelphia Atlanta St. Louis Salt Lake City Solution (* 1,000 lbs.) Terre Haute Dallas NYC Birmingham Spokane San Diego 38 From/To Philadelphia Atlanta St. Louis Salt Lake City Received 927 0 283 281 602 0 327 327 402 402 527 416 927 Total Costs Terre Haute NYC Spokane San Diego Birmingham $ $ 22570 153780 131872 From To Philadelphia Atlanta St. Louis Salt Lake City Total cost Dallas 0 12692 101597 86267 329085 1059854