Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.5 Applications and Modeling with Quadratic Equations - 1.5 Exercises - Page 135: 64

Answer

$5\ days$

Work Step by Step

Step 1. Assume they should wait $x$ days, the total weight would be $12,000+400x=400(30+x)$ Step 2. The price per 100 pound would be $4-0.1x=0.1(40-x)$ Step 3. The revenue per tree would be $R=400(30+x)(0.1)(40-x)/100=0.4(30+x)(40-x)=0.4(1200+10x-x^2)$ Step 4. Let $R=490$, we have $0.4(1200+10x-x^2)=490$ or $x^2-10x+25=0$ which gives $x=5\ days$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.