Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given byC(p) = 7100p100 − 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 decreases without bound as p increases.The cost remains constant as p increases. The cost decreases (bounded by 0) as p increases.The cost increases (bounded by 7100) as p increases.The cost increases without bound as p increases.

Answered: Suppose that the cost C (in dollars) of…

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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Question

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) =

7100p

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.)

(d) What happens to the cost as the percent of pollution removed approaches 100%?

The cost decreases without bound as p increases.
The cost remains constant as p increases.
The cost decreases (bounded by 0) as p increases.
The cost increases (bounded by 7100) as p increases.
The cost increases without bound as p increases.

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