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: 52

Answer

$C(x)=30x+85$

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 $(12, 445)$ and $(50, 1585).$ Slope: $m=\displaystyle \frac{1585-445}{50-12}=30$. Point-slope equation: $y-445=30(x-12)$ $y-445=30x-360\qquad/+445$ $y=30x+85$ or $C(x)=30x+85$
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