If p(x) is the total value of production when there are x workers in a plant, then the average productivity of labor in the plant is p(x) A(x) = i) Find A'(x). Why does the company want to hire more workers if A'(x) > 0? ii) Show that A' (x) > 0 ifp'(x) is greater than the average productivity

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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If p(x) is the total value of production when there are x workers in a plant,
then the average productivity of labor in the plant is
p(x)
A(x) =
i) Find A'(x). Why does the company want to hire more workers if A'(x) > 0?
ii) Show that A' (x) > 0 if p'(x) is greater than the average productivity
Transcribed Image Text:If p(x) is the total value of production when there are x workers in a plant, then the average productivity of labor in the plant is p(x) A(x) = i) Find A'(x). Why does the company want to hire more workers if A'(x) > 0? ii) Show that A' (x) > 0 if p'(x) is greater than the average productivity
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