C = 5,000 + 2x R = 10x – 0.001x sing at the rate of 500 radios per v P) is P = R – C find the rate o

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
icon
Related questions
Question
For a company manufacturing transistor radios, the cost (C) and revenue (R) in dollars
for x radios output in a week are
C = 5,000 + 2x
R = 10x – 0.001x².
If production is increasing at the rate of 500 radios per week when production is 2,000
radios, and the profit (P) is P = R – C find the rate of increase in profit.
Transcribed Image Text:For a company manufacturing transistor radios, the cost (C) and revenue (R) in dollars for x radios output in a week are C = 5,000 + 2x R = 10x – 0.001x². If production is increasing at the rate of 500 radios per week when production is 2,000 radios, and the profit (P) is P = R – C find the rate of increase in profit.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Numerical Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
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
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning