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. Louls, MO; and Salt Lake City, UT. The plants have different capacities and production costs as indicated in the table below. 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. 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. \begin{tabular}{|l|l|l|l|l|r|r|} \hline \multicolumn{7}{|c|}{ Combined Costs Per 1,000 pounds } \\ \hline From/To & NYC & Birmingham & Terre Haute & Dallas & Spokane & San Diego \\ \hline Philadelphia & & & & & \\ \hline Atlanta & & & & & 15 \\ \hline St. Louis & & & & & \\ \hline Salt Lake City & & & & & & 14 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline \multicolumn{7}{|c|}{ Total Costs } \\ \hline From/To & NYC & Birmingham & Terre Haute & Dallas & Spokane & San Diego \\ \hline \multicolumn{7}{|l|}{ Philadelphia } \\ \hline Atlanta & & & & & 150 & \\ \hline \multicolumn{7}{|l|}{ St. Louis } \\ \hline \multicolumn{7}{|l|}{ Salt Lake City } \\ \hline Total Costs & & & & & & 150 \\ \hline \end{tabular}