IV. 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 Care in pesos. 1. Find the marginal profit when 20 notebooks are sold. 2. At what production level is the average cost per notebook at a minimum?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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IV. 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.
1. Find the marginal profit when 20 notebooks are sold.
2. At what production level is the average cost per notebook at a minimum?
Transcribed Image Text:IV. 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. 1. Find the marginal profit when 20 notebooks are sold. 2. At what production level is the average cost per notebook at a minimum?
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