A small business determined that the price-demand and cost functions for producing and selling x notebooks are given by p(x) = 70 – 0.25x and C(x) = 0.5x² + 10x + 800, respectively, where p and C are in pesos. At what production level is the average cost per notebook at a minimum?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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A small business determined that the price-demand and cost functions for producing and selling x
notebooks are given by p(x) = 70 0.25x and C(x) = 0.5x² +10x + 800, respectively, where p
and C are in pesos. At what production level is the average cost per notebook at a minimum?
Transcribed Image Text:A small business determined that the price-demand and cost functions for producing and selling x notebooks are given by p(x) = 70 0.25x and C(x) = 0.5x² +10x + 800, respectively, where p and C are in pesos. At what production level is the average cost per notebook at a minimum?
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