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
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....
Related questions
Question
100%
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ce46a19-a39b-48ae-bc91-5096ca56eff2%2F09446250-0c42-446f-8a92-2ee70c972fc5%2Flfwjpcgp_processed.png&w=3840&q=75)
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?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![Linear Algebra: A Modern Introduction](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
![Calculus For The Life Sciences](https://www.bartleby.com/isbn_cover_images/9780321964038/9780321964038_smallCoverImage.gif)
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell