Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 1 - Linear Functions - Chapter Review - Review Exercises: 51

Answer

$C(x)=180x+2000$

Work Step by Step

In a linear cost function, of the form $C(x)=mx+b$, the $m$ represents the marginal cost and $b$ represents the fixed cost (zero units produced). The graph of C(x) passes through the points $(36, 8480)$ and $(0,2000).$ Slope: $m=\displaystyle \frac{8480-2000}{36-0}=\frac{6480}{36}=180$. Slope-intercept equation: (b= the y-intercept) $y=180x+2000$ or $C(x)=180x+2000$
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