Finite Math and Applied Calculus (6th Edition)

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

Chapter 12 - Section 12.2 - Applications of Maxima and Minima - Exercises - Page 888: 33

Answer

$\$ 38$

Work Step by Step

The sale is equal to $=-p+156$ and The revenue is equal to $=-p^2+156p$ For maximum revenue, we must have $\dfrac{dR}{dp}=0$ or, $-2p+156=0 \\ p=\$ 78$ per piece Thus, the profit becomes: $\$ 78-\$ 40=\$ 38$
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