   Chapter 9.2, Problem 48E ### 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 The percent p of impurities that can be removed from the wastewater of a manufacturing process at a cost of C dollars is given by p = 100 C 8100 + C Find the percent of the impurities that could be removed if cost were no object (that is, if cost were allowed to increase without bound). Can 100% of the impurities be removed? Explain

To determine

To calculate: The percent of impurities that can be removed when C dollars were spent, where the percent of impurities is represented by, p=100C8100+C and whether 100% of the pollution be removed from the exhaust.

Explanation

Given Information:

The percent of particulate pollution that can be removed from the smokestacks of an industrial plant after spending C dollars is represented by the function, p=100C8100+C. The expenditure on the removal of impurities is done without keeping cost in mind.

Formula used:

A limit limxcx can be simplified as,

limxcx=c

Calculation:

Consider the provided function,

p=100C8100+C

Since, the expenditure done to remove the impurities is without bound, thus, C. To find the percent impurities that can be removed when C dollars were spent, consider the limit,

limC100C8100+C

Take C common from the numerator and denominator,

limC100C8100+C=limC100

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