Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by C(p) =  7400p 100 − p (a) Is C(p) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.) p =  (b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.)       (c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by

C(p) = 
7400p
100 − p
(a) Is C(p) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.)
p = 

(b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.)
 
 
 


(c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.)
 
 
 


(d) What happens to the cost as the percent of pollution removed approaches 100%?
The cost increases (bounded by 7400) as p increases.The cost decreases (bounded by 0) as p increases.    The cost decreases without bound as p increases.The cost increases without bound as p increases.The cost remains constant as p increases.
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