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March 30, 2017

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An auto manufacturer sends cars from two plants, I and II, to dealerships A and B located in a Midwestern 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 per car, based on the distance of each dealership form each plant, are $220 from I to A, $300 from I to B, $400 from II to A, $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? (Assign variables to the 4 unknowns. Write a system of 5 equations with the 4 variables. Not all equations will involve all 4 variables)

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