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 take City. UT. The plants have different capacities and production costs as inclicated in the tabie below. SP currently has six contract customers located in New York City, Birmengham, AL, Terre Haute, IN, Dallas, IX, 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. Create a soiver model and find the optimal solution to help SP develop a distrbution plan that will minimize costs to supply the customers' demand Note: Enter your answers in terms of cost per 1,000lbs and shipment quantities per 1,000lbs. Round your answers to the nearest whole number. Leave the cells blank, whenever zero (0) is required