Finite Math and Applied Calculus (6th Edition)

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

Chapter 9 - Section 9.1 - Quadratic Functions and Models - Exercises - Page 631: 53

Answer

If demand is a linear function with negative slope, $q=mp+b$ (with $m<0$), the revenue, $R=pq$, becomes $R=mp^{2}+bp$ and its graph is a parabola that is concave down. This parabola has maximum at the vertex. The parabola has only ONE vertex, that is, only value of p for which R achieves maximum value.

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