Suppose the demand function for a certain product is given by q=f(p)=10200e^−0.18p a) Find the number of products sold when the price of the product is $5. (Round your answer to the nearest whole number.) Number of products sold: b) Find a formula for the rate of change in the number of products sold when the price is pp dollars. f′(p)=   c) What is the rate of change in the number of products sold when the price is $5? (Round your answer to one decimal place.) Rate of Change:

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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Suppose the demand function for a certain product is given by

q=f(p)=10200e^−0.18p

a) Find the number of products sold when the price of the product is $5. (Round your answer to the nearest whole number.)
Number of products sold:

b) Find a formula for the rate of change in the number of products sold when the price is pp dollars.
f′(p)=

 
c) What is the rate of change in the number of products sold when the price is $5? (Round your answer to one decimal place.)
Rate of Change:
 
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