An auto manufacturer sends cars from two plants, I and II, to dealerships A and B, located in a mid-western city. Plant I has a total of 28 cars to send, and plant II has 8. Dealer A needs 20 cars, and dealer B needs 16. Transportation costs based on the distance of each dealership from each plant are $220 from I to A, $300 from I to B, $400 from II to A, and $180 from II to B. The manufacturer wants to limit transportation costs to $10,640. How many cars should be sent from each plant to each of the two dealerships? (Hints: Define each unknown value with a variable. There should be four variables in all.

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