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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 66 cars to send, and plant II has 95. Dealer A needs 64 cars, and dealer B needs 97. Shipping costs are $160 per car from plant I to dealer A, $180 per car from plant I to dealer B, $140 per car from plant II to dealer A, and $125 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $24,120. How many cars should be sent from each plant to each dealer?

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 66 cars to send, and plant II has 95. Dealer A needs 64 cars, and dealer B needs 97. Shipping costs are $160 per car from plant I to dealer A, $180 per car from plant I to dealer B, $140 per car from plant II to dealer A, and $125 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $24,120. How many cars should be sent from each plant to each dealer?

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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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 66 cars to send, and plant II has 95. Dealer A needs 64 cars, and dealer B needs 97. Shipping costs are $160 per car from plant I to dealer A, $180 per car from plant I to dealer B, $140 per car from plant II to dealer A, and $125 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $24,120.

How many cars should be sent from each plant to each dealer?

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 66 cars to send, and plant II has 95. Dealer A needs 64 cars, and dealer B needs 97. Shipping costs are $160 per car from plant I to dealer A, $180 per car from plant I to dealer B, $140 per car from plant II to dealer A, and $125 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $24,120. How many cars should be sent from each plant to each dealer?
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 66 cars to send, and plant II has 95. Dealer A needs 64 cars, and dealer B needs 97. Shipping costs are $160 per car from plant I to dealer A, $180 per car from plant I to dealer B, $140 per car from plant II to dealer A, and $125 per car from plant II to dealer B. The manufacturer wants to limit total shipping costs to exactly $24,120. How many cars should be sent from each plant to each dealer?
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