the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2 (a) Find the average rate of change of C with respect to x when the production level is changed from x=100 to 105 (b) Find the instantaneous rate of change of C with respect to x when x = 100 and interpret the value of it

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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the cost (in dollars) of producing x units of a certain commodity is c(x)=100+50x-0.02x^2

(a) Find the average rate of change of C with respect to x when the production level is changed from x=100 to 105

(b) Find the instantaneous rate of change of C with respect to x when x = 100 and interpret the value of it 

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