# A retailer has bought several cases of a certain imported wine. As the wine ages, its value initially increases, but

## Question:

A retailer has bought several cases of a certain imported 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 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?

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**Related Book For**

## Calculus For Business, Economics And The Social And Life Sciences

**ISBN:** 9780073532387

11th Brief Edition

**Authors:** Laurence Hoffmann, Gerald Bradley, David Sobecki, Michael Price

**Question Details**

Chapter #

**3**- Additional Applications of the DerivativeSection: Exercises 3.5

Problem: 19

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