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:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
icon
Related questions
Question

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:   

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
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