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)?
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
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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)?
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