The daily cost in dollars to reduce emissions by q pounds of pollutant in a day is given by C(q) = 4,100 + 96q2. (a) What is the average daily cost per pound when emissions are reduced by g pounds in a day? C(q)= (b) What level of reduction corresponds to the lowest average daily cost per pound of pollutant? (Round your answer to two decimal places.) pounds of pollutant What would be the resulting minimum average daily cost per pound? (round to the nearest dollar) dollars Second derivative test: Your answer above is a critical point for the average daily cost function. To show it is a minimum, calculate the second derivative of the average daily cost function. C"(q)=

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
icon
Related questions
Question
The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:
The daily cost in dollars to reduce emissions by q pounds of pollutant in a day is given by
C(q) = 4,100 + 96q?.
(a) What is the average daily cost per pound when emissions are reduced by g pounds in a day?
C(q)=
(b) What level of reduction corresponds to the lowest average daily cost per pound of pollutant? (Round your answer to two decimal places.)
pounds of pollutant
What would be the resulting minimum average daily cost per pound? (round to the nearest dollar)
dollars
Second derivative test:
Your answer above is a critical point for the average daily cost function. To show it is a minimum, calculate the second derivative of the average daily cost function.
C"(q)=
Transcribed Image Text:The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: The daily cost in dollars to reduce emissions by q pounds of pollutant in a day is given by C(q) = 4,100 + 96q?. (a) What is the average daily cost per pound when emissions are reduced by g pounds in a day? C(q)= (b) What level of reduction corresponds to the lowest average daily cost per pound of pollutant? (Round your answer to two decimal places.) pounds of pollutant What would be the resulting minimum average daily cost per pound? (round to the nearest dollar) dollars Second derivative test: Your answer above is a critical point for the average daily cost function. To show it is a minimum, calculate the second derivative of the average daily cost function. C"(q)=
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Linear Equations
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:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage