Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.7 Complete the Square - 4.7 Exercises - Problem Solving - Page 290: 64


decreasing the price by $\$ 10$

Work Step by Step

$y=(70-x)(50+x)=-x^2+20x+3500=-(x^2-20x)+3500=-((x-10)^2-100)+3500=-(x-10)^2+100+3500=-(x-10)^2+3600$ Thus the vertex of the graph is at $(10,3600)$, and the shop can maximize its revenue by decreasing the price by $ \$10$.
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