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.

PLANT	MAXIMUM CAPACITY ( 100,000 LBS.)	PROD. COST (PER 1,000 LBS.)
Philadelphia	7.4	$333.00
Atlanta	9.1	$283.00
St. Louis	12.3	$313.00
Salt Lake City	10.3	$258.00

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.

	TRANSPORT COSTS PER 1,000 LBS.
FROM/TO	NYC	BIRMINGHAM	TERRE HAUTE	DALLAS	SPOKANE	SAN DIEGO
Philadelphia	$49	$56	$60	$66	$65	$92
Atlanta	59	46	62	63	67	89
St. Louis	61	64	54	58	52	77
Salt Lake City	76	75	71	61	45	67
Total Demand ( 1,000 lbs.)	533	422	933	608	333	408

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.)

	CombinedCosts Per 1,000 lbs.
From/To	NYC	Birmingham	Terre Haute	Dallas	Spokane	San Diego
Philadelphia	$	$	$	$	$	$
Atlanta
St. Louis
Salt Lake City

	Solution ( 1,000 lbs.)
From/To	NYC	Birmingham	Terre Haute	Dallas	Spokane	San Diego
Philadelphia
Atlanta
St. Louis
Salt Lake City
Received

	Total Costs
From/To	NYC	Birmingham	Terre Haute	Dallas	Spokane	San Diego
Philadelphia	$	$	$	$	$	$
Atlanta
St. Louis
Salt Lake City
Total cost						$