   Chapter 9.1, Problem 61E ### 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 obtaining water that contains p percent impurities is given by C ( p ) = 120 , 000 p − 1200 (a) Find lim p → 100 − C ( p ) , if it exists. Interpret this result.(b) Find lim p → 0 + C ( p ) , if it exists.(c) Is complete purity possible? Explain.

(a)

To determine

To calculate: The value of the limit limp100C(p) where C(p)=120000p1200.

Explanation

Given Information:

The cost C of obtaining water that contains p percent impurities is given by, C(p)=120000p1200.

The limit is limp100C(p).

Formula used:

For a polynomial function f(x)=anxn+an1xn1++a1x+a0 where an0 and n is a positive integer,

limxcf(x)=f(c)

This is defined for all values of c

(b)

To determine

To calculate: The value of the limit limp0+C(p) where C(p)=120000p1200.

(c)

To determine

Whether complete purity is possible or not if the cost C of obtaining water that contains p percent impurities is given by C(p)=120000p1200.

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