Problem 15. A retailer has bought several cases of Californian wine. As the wine ages, its value initially increases, but eventually the wine will pass its prime and its value will decrease. Suppose that x years from now, the market value of a case will be changing at the rate of 53 10x dollars per year. Suppose, in addition, that storage rates will remain fixed at $3 per case per year. When should the retailer sell the wine to obtain the greatest possible profit? Solution:

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 14P: Annual interest yield refer to problem 13 .suppose the investor decides to increase the maximum...
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Problem 15. A retailer has bought several cases of Californian wine.
As the wine ages, its value initially increases, but eventually the wine will
pass its prime and its value will decrease. Suppose that x years from now,
the market value of a case will be changing at the rate of 53 – 10x dollars
per year. Suppose, in addition, that storage rates will remain fixed at $3 per
case per year. When should the retailer sell the wine to obtain the greatest
possible profit?
Solution:
Transcribed Image Text:Problem 15. A retailer has bought several cases of Californian wine. As the wine ages, its value initially increases, but eventually the wine will pass its prime and its value will decrease. Suppose that x years from now, the market value of a case will be changing at the rate of 53 – 10x dollars per year. Suppose, in addition, that storage rates will remain fixed at $3 per case per year. When should the retailer sell the wine to obtain the greatest possible profit? Solution:
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ISBN:
9781305115545
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James Stewart, Lothar Redlin, Saleem Watson
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Cengage Learning