The Green Company manufactures an electric motorcycle, which it sells through two of its company-owned retail stores. Store A has put in a request for between 40 and 50 of the motorcycles, inclusive, and Store B needs between 30 and 40 units, inclusive. On the basis of previous sales, the management of Green Company has decided that the number of motorcycles shipped to Store B should equal or exceed 40% of the number shipped to Store A by 20 units. The shipping costs from the manufacturer to Store A and Store B are $80 and $40 per motorcycle, respectively. How many motorcycles should the Green Company ship to each store in order to minimize its shipping costs?   Store A motorcycles __________ Store B motorcycles __________   What is the minimum cost? $_____________

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 27EQ
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The Green Company manufactures an electric motorcycle, which it sells through two of its company-owned retail stores. Store A has put in a request for between 40 and 50 of the motorcycles, inclusive, and Store B needs between 30 and 40 units, inclusive. On the basis of previous sales, the management of Green Company has decided that the number of motorcycles shipped to Store B should equal or exceed 40% of the number shipped to Store A by 20 units. The shipping costs from the manufacturer to Store A and Store B are $80 and $40 per motorcycle, respectively. How many motorcycles should the Green Company ship to each store in order to minimize its shipping costs?
 
Store A motorcycles __________
Store B motorcycles __________
 
What is the minimum cost?
$_____________

 

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