The monthly demand for a certain brand of table wine is given by the demand equation p = 360   1 −  3 3 + e−0.0005x   where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. (a) Find the rate of change of the price per case when  x = 1000. (a) Find the rate of change of the price per case when  x = 1000.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 63SE: In the year 1985, a house was valued at 110,000. Bythe year 2005, the value hadappreciated to...
Question

The monthly demand for a certain brand of table wine is given by the demand equation

p = 360
 
1 − 
3
3 + e−0.0005x
 

where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded.

(a) Find the rate of change of the price per case when 
x = 1000.
(a) Find the rate of change of the price per case when 
x = 1000.
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