(b) Find the instantaneous rate cf change of C with respect t i when x = 100, (This is called the marginal cost. Its signil- cance will be explained in Section 3.7.)
(b) Find the instantaneous rate cf change of C with respect t i when x = 100, (This is called the marginal cost. Its signil- cance will be explained in Section 3.7.)
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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Question
![(bj Find the instantaneous rate cf change of C with respect t :
when x = 100. (This is called the marginal cost. Its signil-
cance will be explained in Section 3.7.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96529d31-1af4-4d90-b6c1-79b0ae971a1c%2F9ebec446-be38-401a-8e2c-8e12c840d5fa%2Fytb81h8.jpeg&w=3840&q=75)
Transcribed Image Text:(bj Find the instantaneous rate cf change of C with respect t :
when x = 100. (This is called the marginal cost. Its signil-
cance will be explained in Section 3.7.)
![45. The cost (in dollars) of producing x units of a certain com-
modity is C(xr) = 5000 + 10x + 0.05x².
(a) Find the average rate of change of C with respect to x when
the production level is changed
(i) from x = 100 to x = 105
(ii) from x = 100 to x = 101
||
||
||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96529d31-1af4-4d90-b6c1-79b0ae971a1c%2F9ebec446-be38-401a-8e2c-8e12c840d5fa%2Fl0fwq1m.jpeg&w=3840&q=75)
Transcribed Image Text:45. The cost (in dollars) of producing x units of a certain com-
modity is C(xr) = 5000 + 10x + 0.05x².
(a) Find the average rate of change of C with respect to x when
the production level is changed
(i) from x = 100 to x = 105
(ii) from x = 100 to x = 101
||
||
||
Expert Solution
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Step 1
Given function
Aim: (a) To find the average rate of change of C with respect of x .
(b) To find the instantaneous rate of change of C with respect of x.
Concept: Average rate of change of C with respect to x ; when is given as:
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