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 stipped to customers, If the company can keep freight costs low, profitability will improve. The company recently purchased six rail cars of grain at Muncie, Indiana; five rail cars at Brazl, Indians; and three rall cars at Xenia, ohia. Twelve carlosds of grain have been sold. The locations and the amount sold at each location are as follows: Al stipments must be routed through either Loulsvile or Cincinnati, shewn are the shipping costs per bushel (in cents) from the origins to Lousulle and Cincinnati and the costs per busthel to stio from Louisvilie and Cindinnati to the destinations. A rail car hoids 3,200 bushels of grain. Cost per bushel in cents Number of Cars to Ship Which (ot any) rail cars of grain must be heid at the origin untii buyers can be found tenter the number of cars at each starting location that must be heid. Numshaz of Carw Damainina