Question

An auto factory sends cars from plant 1 and 2 to dealership a and b. Plant 1 has 28 cars to send, Plant 2 has 8 to send. Dealer A needs 20 cars, Dealer B needs 16. Transportation costs are $220 from 1 to A, $300 from 1 to B, $400 from 2 to A, and $180 from 2 to B. Transportation costs are limited to $10640. How many cars should be sent from each plant to each of the dealerships?