A company that manufactures pet toys calculates that its cost C and revenue R can be modeled by the equations  C= 75,000 + 1.05x  and R= 500x x^2/25   where x is the number of units of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 250 toys per week. Find the rate of change of the a) cost b) revenue c) profit.   a) dC/dt=   b) dR/dt=   C) dP/dt =

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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A company that manufactures pet toys calculates that its cost C and revenue R can be modeled by the equations 

C= 75,000 + 1.05x  and R= 500x x^2/25

 

where x is the number of units of toys produced in 1 week. Production during one particular week is 5000 toys and is increasing at a rate of 250 toys per week. Find the rate of change of the a) cost b) revenue c) profit.

 

a) dC/dt=

 

b) dR/dt=

 

C) dP/dt =

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ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning