An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by 9 10 C(x) = 750+36x-0.063x² and R(x) = 25x respectively. Determine the rate at which the accessories company's average profit per belt is changing when 177 belts have been produced and sold.
An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by 9 10 C(x) = 750+36x-0.063x² and R(x) = 25x respectively. Determine the rate at which the accessories company's average profit per belt is changing when 177 belts have been produced and sold.
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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Question
First, find the rate at which the average profit is changing when x belts have been produced.
When 178 belts have been produced and sold, the average profit is changing at ______ dollars per beft for each
additional belt.
(Round to four decimal places as needed.)
2021
2022
MM 2023
Similer
Transcribed Image Text:An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by
9
10
C(x) = 750+36x-0.063x² and R(x) = 25x respectively. Determine the rate at which the accessories company's
average profit per belt is changing when 177 belts have been produced and sold.
1
I
First, find the rate at which the average profit is changing when x belts have been produced.
P'(x) =
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