Homework Help is Here – Start Your Trial Now!
Math
Calculus
Suppose that for a company manufacturing calculators, the cost and revenue equations (in dollars) are given by C = 70,000 + 30x,      R = 400x − x^2/4000 , where the production output in one week is x calculators. If the production rate is increasing at a rate of 800 calculators per week when the production output is 4,000 calculators, find each of the following with correct units. (Note: Profit is revenue minus costs.) (a) The rate of change of the cost with respect to time is         . (b) The rate of change of the revenue with respect to time is         . (c) The rate of change of the profit with respect to time is

Suppose that for a company manufacturing calculators, the cost and revenue equations (in dollars) are given by C = 70,000 + 30x,      R = 400x − x^2/4000 , where the production output in one week is x calculators. If the production rate is increasing at a rate of 800 calculators per week when the production output is 4,000 calculators, find each of the following with correct units. (Note: Profit is revenue minus costs.) (a) The rate of change of the cost with respect to time is         . (b) The rate of change of the revenue with respect to time is         . (c) The rate of change of the profit with respect to time is

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.CR: Review Problem Set
Problem 74CR: The surface area of a cube varies directly as the square of the length of an edge. If the surface...
See similar textbooks
icon
Related questions
Question
Suppose that for a company manufacturing calculators, the cost and revenue equations (in dollars) are given by
C = 70,000 + 30x,      R = 400x − x^2/4000 
,
where the production output in one week is x calculators. If the production rate is increasing at a rate of 800 calculators per week when the production output is 4,000 calculators, find each of the following with correct units. (Note: Profit is revenue minus costs.)
(a)
The rate of change of the cost with respect to time is         .
(b)
The rate of change of the revenue with respect to time is         .
(c)
The rate of change of the profit with respect to time is         
Expert Solution
steps

Step by step

Solved in 1 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
SEE MORE TEXTBOOKS