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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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 = 75 ( 20 + 900 x ) x = 500

To determine

To calculate: The change in revenue R in marginal function dRdx=75(20+900x) for number of units x=500 while x increases by 3.

Explanation

Given Information:

The marginal function is dRdx=75(20+900x) for number of units x=500 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 revenue function is defined as,

x1x2dRdxdx=R(x2)R(x1)

Calculation:

Consider the provided marginal function,

dRdx=75(20+900x)

The number of units is x=500 which increases by 3

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