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 47 cars to send, and plant II has 34. Dealer A needs 45 cars, and dealer B needs 36. Shipping costs are $175 per car from plant I to dealer A, $165 per car from plant I to dealer B, $120 per car from plant II to dealer A, and $115 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $12,060. How many cars should be sent from each plant to each dealer? Cars sent from plant I to dealer A: Cars sent from plant I to dealer B: Cars sent from plant II to dealer A: Cars sent from plant II to dealer B:
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 47 cars to send, and plant II has 34. Dealer A needs 45 cars, and dealer B needs 36. Shipping costs are $175 per car from plant I to dealer A, $165 per car from plant I to dealer B, $120 per car from plant II to dealer A, and $115 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $12,060.
How many cars should be sent from each plant to each dealer?
Cars sent from plant I to dealer A:
Cars sent from plant I to dealer B:
Cars sent from plant II to dealer A:
Cars sent from plant II to dealer B:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images