10 An accessories company finds that the cost and revenue, in dollars, f producing x belts is given by C(x) = 730 + 35x-0.068x² and R(x)=25x , respectively. Determine the rate at which the accessories company's average profit per belt is changing when 176 belts have been produced and sold. First, find the rate at which the average profit is changing when x belts have been produced. P'(x)= When 176 belts have been produced and sold, the average profit is changing at (Round to four decimal places as needed.) for each additional belt.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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An accessories company finds that the cost and revenue, in dollars, of producing x belts i s given by C(x)=730+35x-0.068x² and R(x) = 25x
produced and sold.
First, find the rate at which the average profit is changing when x belts have been produced.
P'(x)=
When 176 belts have been produced and sold, the average profit is changing at
(Round to four decimal places as needed.)
for each additional belt.
(…)
9
, respectively. Determine the rate at which the accessories company's average profit per belt is changing when 176 belts have been
Transcribed Image Text:An accessories company finds that the cost and revenue, in dollars, of producing x belts i s given by C(x)=730+35x-0.068x² and R(x) = 25x produced and sold. First, find the rate at which the average profit is changing when x belts have been produced. P'(x)= When 176 belts have been produced and sold, the average profit is changing at (Round to four decimal places as needed.) for each additional belt. (…) 9 , respectively. Determine the rate at which the accessories company's average profit per belt is changing when 176 belts have been
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