Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - Exercises - Page 96: 22

Answer

a) $y=6x+3000$ (b) The slope of $6$ means that each additional toaster oven produced adds $\$6$ to the weekly production cost. (c) The $y$-intercept of $3000$ represents the overhead cost—the cost incurred without producing anything.

Work Step by Step

a) Let suppose, the denote number of toaster ovens produced in one week$=x$ The associated cost $=y$ By using graph points, $(1000,9000),~~(1500,12000)$ then, We get an equation of line; $y-9000=\frac{12000-9000}{1500-1000}(x-1000)$ $y=\frac{3000}{500}(x-1000)+9000$ $y=6(x-1000)+9000$ $y=6x-6000+9000$ $y=6x-3000$ (b) The slope of $6$ means that each additional toaster oven produced adds $\$6$ to the weekly production cost. (c) The $y$-intercept of $3000$ represents the overhead cost—the cost incurred without producing anything.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.