The cost (in S) of producing x-units of certain commodity is: C(x)=500+7x+0.03x². Find the average rate of change of C with respect to x when the production level is changed from x=90 to x=93 and interpret its meaning (carefully state the units). Find the instantaneous rate of change of C with respect to x when x-90 and interpret its meaning (carefully state the units). Compare your result with the one in part a).
The cost (in S) of producing x-units of certain commodity is: C(x)=500+7x+0.03x². Find the average rate of change of C with respect to x when the production level is changed from x=90 to x=93 and interpret its meaning (carefully state the units). Find the instantaneous rate of change of C with respect to x when x-90 and interpret its meaning (carefully state the units). Compare your result with the one in part a).
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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
Transcribed Image Text:4) The cost (in S) of producing x-units of certain commodity is:
C(x)=500+7x+0.03x².
a) Find the average rate of change of C with respect to x when the production level is
changed from x=90 to x=93 and interpret its meaning (carefully state the units).
b) Find the instantaneous rate of change of C with respect to x when x-90 and
interpret its meaning (carefully state the units). Compare your result with the one
in part a).
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