   Chapter 7.3, Problem 53E ### 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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# Shareholder’s Equity The shareholder’s equity z (in millions of dollars) for Skechers from 2009 through 2013 can be modeled by z =   0.105 x   +   0.339 y   +   257 , where x is the sales (in millions of dollars) and y is the total assets (in millions of dollars). (Source: Skechers U.S.A., Inc.)(a) Find the shareholder’s equity when x = 1000 and y = 500.(b) Which of the two variables in this model has the greater influence on shareholder's equity? Explain.

(a)

To determine

To calculate: The shareholder’s equity when x=1000 and y=500 if the shareholder’s equity z (in millions of dollars) for sketchers from 2009 through 2013 can be modeled by z=0.105x+0.339y+257, where x is the sales (in millions of dollars) and y is the total assets (in millions of dollars).

Explanation

Given information:

The shareholder’s equity when x=1000 and y=500 if the shareholder’s equity z (in millions of dollars) for sketchers from 2009 through 2013 can be modeled by z=0.105x+0.339y+257, where x is the sales (in millions of dollars) and y is the total assets (in millions of dollars).

Calculation:

Consider the shareholder’s equity model function,

z=0.105x+0.339y+257

Where x is the sales (in millions of dollars) and y is the total assets (in millions of dollars).

Substitute, 1000 for x, 500 for y in the shareholder’s model equity z=0

(b)

To determine

The influence of both variable on shareholders’ equity. The shareholder’s equity when x=1000 and y=500 if the shareholder’s equity z (in millions of dollars) for sketchers from 2009 through 2013 can be modeled by z=0.105x+0.339y+257,

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