Chapter 5.2, Problem 8CP

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10th Edition

Ron Larson

ISBN: 9781305860919

Textbook Problem

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Checkpoint 8 Worked-out solution available at LarsonAppliedCalculus.com

According to the model in Example 8, at what income level would a family of four consume $32,000?

To determine

**To calculate:** The amount consumed by a family of four whose 2013 income was $32,000, if the marginal propensity to consume income *x* can be modeled by:

Where *Q* represents the income consumed (in dollars).

Explanation

**Given Information:**

The amount consumed by a family of four whose 2013 income was $32,000, if the marginal propensity to consume income *x* can be modeled by

**Formula used:**

General Power Rule:

If *u* is a differentiable function of *x*, then

**Calculation:**

Consider the derivative

Now Integrate the above derivative,

It can be written as

Let

So,

Now use the general power rule to get,

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P-20TYSCh-5 P-21TYSCh-5 P-22TYS

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