Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.4 Solve ax(squared) + bx + c = 0 by Factoring - Guided Practice for Examples 5, 6, and 7 - Page 262: 22

Answer

See below.

Work Step by Step

$R(x)=(28000-2000x)(11+x)=-2000(x-14)(11+x)$. The zeros of $R(x)$ are $14$ and $-11$, thus the average of them is $1.5$, so to maximize the revenue, each subscription should cost $11+1.5=12.5$. Then the revenue is $25000\cdot12.5=312500$
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