The Moore & Harman Company is in the business of buying and selling grain. An important aspect of the company's business is arranging for the purchased grain to be shipped to customers. If the company can keep freight costs low, profitability will improve.

The company recently purchased five rail cars of grain at Muncie, Indiana; six rail cars at Brazil, Indiana; and three rail cars at Xenia, Ohio. Twelve carloads of grain have been sold. The locations and the amount sold at each location are as follows:

Location	Number of Rail Car Loads
Macon, GA	4
Greenwood, SC	3
Concord, SC	2
Chatham, NC	3

All shipments must be routed through either Louisville or Cincinnati. Shown are the shipping costs per bushel (in cents) from the origins to Louisville and Cincinnati and the costs per bushel to ship from Louisville and Cincinnati to the destinations. A rail car holds 3,200 bushels of grain.

	To
From	Louisville	Cincinnati
Muncie	8	6
Brazil	3	8
Xenia	9	3

	To
From	Macon	Greenwood	Concord	Chatham
Louisville	44	34	34	32
Cincinnati	57	35	28	24

(a)

Determine a shipping schedule that will minimize the freight costs necessary to satisfy demand. Enter the values that complete the shipping schedule.

	To
From	Louisville	Cincinnati
Muncie
Brazil
Xenia

	To
From	Macon	Greenwood	Concord	Chatham
Louisville
Cincinnati

(b)

Which (if any) rail cars of grain must be held at the origin until buyers can be found? Enter the number of cars at each starting location that must be held.

	To
Location	Number of Cars
Muncie
Brazil
Xenia