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...
icon
Related questions
Question
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).
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).
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning