Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 1 - Section 1.2 - Functions and Models - Exercises - Page 72: 19a

Answer

The cost function in dollars is $C(x)=0.4x+70$ The revenue function is $R(x)=0.5x$ The profit function is $P(x)=0.5x-(0.4x+70)=0.1x-70$

Work Step by Step

The cost function is the following: We have a fixed cost of $\$70$ in an edition. We have a marginal cost odf $40$ cents per copy. The cost function in dollars is $C(x)=0.4x+70$ The revenue function is $R(x)=0.5x$, as a copy costs $50$ cents. The profit function equals to $R(x)-C(x)$, here it is: $P(x)=0.5x-(0.4x+70)=0.1x-70$
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