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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. If p(x) is the total value of the production when there are r workers in a plant, then the average p(x) productivity of the workforce at the plant is A(x) %3D Find A'(x). Why does the company want to hire more workers if A'(x) > 0? Show that A'(x) > 0 if p' (x) is greater than the average productivity.
Transcribed Image Text:3. If p(x) is the total value of the production when there are r workers in a plant, then the average p(x) productivity of the workforce at the plant is A(x) %3D Find A'(x). Why does the company want to hire more workers if A'(x) > 0? Show that A'(x) > 0 if p' (x) is greater than the average productivity.
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