   Chapter 5.2, Problem 8CP ### 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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# Checkpoint 8 Worked-out solution available at LarsonAppliedCalculus.comAccording 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:

dQdx=0.98(x23,899)0.02,x23,900

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

dQdx=0.98(x23,899)0.02,x23,900

Formula used:

General Power Rule:

If u is a differentiable function of x, then

undudxdx=undu=un+1n+1+c,n1

Calculation:

Consider the derivative dQdx=0.98(x23,899)0.02,

Now Integrate the above derivative,

Q=0.98(x23,899)0.02dx

It can be written as 0.98(x23,899)0.02dx.

Let u=x23899,

So,

du=dx

Now use the general power rule to get,

u0

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