## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Common Core End-of-Course Assessment - Page 797: 47

#### Answer

p=15 will produce the highest total sales (7200).

#### Work Step by Step

$S=-32p^{2}+960p$ In order to find the height of the parabola, use the equation $\frac{-b}{2a}$ $h=\frac{-b}{2a}=\frac{-960}{2(-32)}=15$ Thus, $p=15$ will produce the highest total sales (7200).

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