Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-2 Standard Form of a Quadratic Function - Practice and Problem-Solving Exercises - Page 206: 32

Answer

Price = $100 Revenue = $25000

Work Step by Step

Essentially, this is asking for the x and y-coordinate of the vertex (because the maximum will occur then) In $ax^2+bx+c$ form, a = -2.5, b = 500, c = 0. $p = \frac{-b}{2a} = \frac{-500}{2*-2.5} = 100$ $R(100) = -2.5*100^2 + 500*100 = 25000$
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