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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	MAXIMUM CAPACITY ( 100,000 POUNDS)	PRODUCT COST (PER 1,000 POUNDS)
Philadelphia	7.2	$331.00
Atlanta	9.2	$281.00
St. Louis	12.2	$311.00
Salt Lake City	10.2	$256.00

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.

FROM OR TO	TRANSPORT COSTS PER 1,000 POUNDS
NYC	BIRMINGHAM	TERRE HAUTE	DALLAS	SPOKANE	SAN DIEGO
Philadelphia	$49	$56	$60	$66	$67	$90
Atlanta	59	46	62	63	69	87
St. Louis	61	64	54	58	54	75
Salt Lake City	76	75	71	61	47	65
Total Demand ( 1,000 pounds)	531	420	931	606	331	406

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|l|l|} \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 & & & & & & \\ \hline St. Louis & & & & & & \\ \hline Salt Lake City & & & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|} \hline \multicolumn{7}{|c|}{ Total Costs } \\ \hline From/To & NYC & Birmingham & Terre Haute & Dallas & Spokane & San Diego \\ \hline Philadelphia & & & & & & \\ \hline Atlanta & & & & & & \\ \hline St. Louis & & & & & & \\ \hline Salt Lake City & & & & & & $ \\ \hline Total Costs & & & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|} \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 & & & & & & \\ \hline St. Louis & & & & & & \\ \hline Salt Lake City & & & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|l|l|} \hline \multicolumn{7}{|c|}{ Total Costs } \\ \hline From/To & NYC & Birmingham & Terre Haute & Dallas & Spokane & San Diego \\ \hline Philadelphia & & & & & & \\ \hline Atlanta & & & & & & \\ \hline St. Louis & & & & & & \\ \hline Salt Lake City & & & & & & $ \\ \hline Total Costs & & & & & & \\ \hline \end{tabular}

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