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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.10, Problem 76E

a.

To determine

Assuming that the relationship between cost and number of chairs produced is linear, find an equation that expresses this relationship. Then graph the equation.

Expert Solution

**Calculation: **

Assume that the relationship between cost and number of chairs produced is linear, and then the equation that represents this relationship is given as,

To manufacture

To manufacture

Subtract equation

So, the value of

Now, we substitute the value

Put these values of

So, the linear equation that expresses this relationship between cost and number of chairs produced is

The graph of the equation

Hence, the linear equation that expresses this relationship between cost and number of chairs produced is

b.

To determine

What is the slope of the line in part

Expert Solution

It represents the cost per number of chairs.

**Calculation: **

Since, the equation of the line that has slope

Hence, the slope of the line

c.

To determine

What is

Expert Solution

It represents the monthly fixed cost.

**Calculation: **

Since, the equation of the line that has slope

Hence, the