   Chapter 9.2, Problem 45E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Cost-benefit Suppose that the cost C of removing p percent of the impurities from the wastewater in a manufacturing process is given by C ( p ) = 9800 p 101 − p Is this function continuous for all those p values for which the problem makes sense?

To determine

Whether the function, C(p)=9800p101p, is continuous for all values of p for which the percent impurities make sense, where p is the percent impurities from the waste water in a manufacturing process.

Explanation

Given Information:

The cost of removing the percent impurities from the wastewater in a manufacturing process, C(p)=9800p101p, where p is the percent impurities from the waste water in a manufacturing process.

Explanation:

Consider the provided function,

C(p)=9800p101p

Since, the function is a rational function, thus, the function will be continuous at all points except the points where the value of the denominator is zero.

Thus, the point of discontinuity is found by equating the denominator to zero

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