Chapter 1, Problem 22RE

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.

- (a) Express the cost as a function of the number of toaster ovens produced, assuming that it is linear. Then sketch the graph.
- (b) What is the slope or the graph and what does it represent?
- (c) What is the
*y*-intercept of the graph and what does it represent?

(a)

To determine

**To express:** The cost as a function of the number of toaster ovens produced.

Explanation

**Given:**

To produce 1000 toaster ovens in a week it costs $9000 and to produce 1500 it costs $12000.

The cost function follows a liner function.

**Calculation:**

Let the cost function as,

The slope of the line *m* is given by

According to the given data, there exist two points

The slope of line passes through

Substitute

(b)

To determine

**To find:** The slope of graph and explain what it represent.

(c)

To determine

**To find:** The *y*-intercept of graph and explain what it represent.

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