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 65 cars to send, and plant II has 42. Dealer A needs 45 cars, and dealer B needs 62. Shipping costs are $250 per car from plant I to dealer A, $130 per car from plant I to dealer B, $230 per car from plant II to dealer A, and $255 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $20,645. 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:

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.2: Systems Of Linear Equations: Three Variables
Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...
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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 65 cars to send, and plant II has 42. Dealer A needs 45
cars, and dealer B needs 62. Shipping costs are $250 per car from plant I to dealer A, $130 per
car from plant I to dealer B, $230 per car from plant II to dealer A, and $255 per car from
plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $20,645.
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:
Transcribed Image Text: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 65 cars to send, and plant II has 42. Dealer A needs 45 cars, and dealer B needs 62. Shipping costs are $250 per car from plant I to dealer A, $130 per car from plant I to dealer B, $230 per car from plant II to dealer A, and $255 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $20,645. 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:
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