Sycamore Plastics (SP) is a manufacturer of polyethylene plastic pellets used as a raw material by manufacturers of plastic goods around the United States 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. PLANT Philadelphia Atlanta St. Louis Salt Lake City NAXIMUM CAPACITY ( 100,000 rounds) 7.9 9.1 12.1 10.4 PRODUCT COST (PEN) 1,000 POUNDS) $270.00 $300.00 $253.00 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 FROUTO Philadelphia Atlanta St. Louis Salt Lake City Total Demand (3,000 pounds) TRANSPORT COSTS PER 1, POUNDS NYC BIRMINGHAM TERRE HAUTE 546 353 357 DALLAS 143 SPOKANE $74 SAN DIEGO 383 56 41 59 76 58 61 51 55 61 60 23 22 30 54 58 523 413 923 558 350 390 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 Note: 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. Leave the cells blank, whenever zero (0) is required From/To Philadelphia Atlanta St. Louis Salt Lake City NYC Combined Costs Per 1,000 pounds Birmingham Terre Haute Dallas Spokane San Diego