The total profit function for a ghost busting business is given by  P(x) = −x2 + 160x − 430  dollars when x ghosts are busted. (a) What is the total profit earned for busting 75 ghosts (with the correct units)?           (b) What is the instantaneous rate of change of the profit when 75 ghosts are busted (with the correct units)?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 2ECP
icon
Related questions
Question
The total profit function for a ghost busting business is given by 
P(x) = −x2 + 160x − 430
 dollars when x ghosts are busted.

(a)

What is the total profit earned for busting 75 ghosts (with the correct units)?
         

(b)

What is the instantaneous rate of change of the profit when 75 ghosts are busted (with the correct units)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 22 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College