Chapter 10.5, Problem 36E

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11th Edition

Ronald J. Harshbarger + 1 other

ISBN: 9781305108042

Textbook Problem

** Cost-benefit** The percent

(a) Find any *C*-values at which the rate of change of *p* with respect to C does not exist. Make sure that these make sense in the problem.

(b) Find *C*-values for which *p* is increasing.

(c) Find any horizontal asymptotes.

(d) Can

**(a)**

To determine

**To calculate:** The value of *C* at which the rate of change of *p* with respect to *C* does not exist for the function *p* is the percentage of impurities that can be removed by spending *C* dollars.

Explanation

**Given Information:**

The provided function is *p* is the percentage of impurities that can be removed by spending *C* dollars.

**Formula used:**

According to the quotient rule,

If

**Calculation:**

First calculate the rate of change of *p* with respect to *C.*

Thus, differentiate the function with respect to *C.*

Use the quotient rule to differentiate the function,

**(b)**

To determine

**To calculate:** The value of *p* is increasing for the function *p* is the percentage of impurities that can be removed by spending *C* dollars.

**(c)**

To determine

**To calculate:** The horizontal asymptote, for the function

**(d)**

To determine

The explanation if the 100% of impurities can be removed for the function *p* is the percentage of impurities that can be removed by spending *C* dollars.

Sect-10.1 P-1CPSect-10.1 P-2CPSect-10.1 P-3CPSect-10.1 P-4CPSect-10.1 P-1ESect-10.1 P-2ESect-10.1 P-3ESect-10.1 P-4ESect-10.1 P-5ESect-10.1 P-6E

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