   Chapter 5.4, Problem 52E ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# Marginal Analysis In Exercises 47–52, find the change in cost C, revenue R, or profit P for the given marginal function. In each case, assume that the number of units x increases by 3 from the specified value of x. See Example 6. Marginal   Function Number   of   Units ,   x d R d x = 12.5 ( 40 − 3 x ) x = 125

To determine

To calculate: The change in profit P in marginal function dPdx=12.5(403x) for number of units x=125 while x increases by 3.

Explanation

Given Information:

The marginal function is dPdx=12.5(403x) for number of units x=125 while x increases by 3.

Formula used:

If the number of units increases from x1 to x2 and the marginal function is known, then the change in marginal profit function is defined as,

x1x2dPdxdx=P(x2)P(x1)

Calculation:

Consider the provided marginal function,

dPdx=12.5(403x)

The number of units is x=125 which increases by 3.

Now, apply the formula to calculate the change in the cost obtained by increasing from 125 to 128 units is,

x1x2dPdxdx=12512812

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