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 73: 35d

Answer

$R(p)=0.0009p^{3}-0.63p^{2}+245p\qquad $million dollars/year $R(60)\approx 12.6$ billion dollars/year

Work Step by Step

Revenue= (price)$\times$(quantity) $R(p)=p\cdot q(p)=p[0.0009p^{2}-0.63p+245]$ $R(p)=0.0009p^{3}-0.63p^{2}+245p\qquad $million dollars/year If p=60, $R(60)=0.0009(60)^{3}-0.63(60)^{2}+245(60)\approx 12,626$ $\approx 12.6$ billion dollars/year
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