Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Review - Modeling with Functions - Problems - Page 242: 22

Answer

(a) $A=-\frac{5}{2}x^2+375x$ (b) $28125ft^2$

Work Step by Step

(a) Assume the length of each pend divider is $x$, there are 5 such parts needs, leaving the two other sides $750-5x$ in total length or $375-\frac{5x}{2}$ each. The total area is $A=x(375-\frac{5x}{2})=-\frac{5}{2}x^2+375x$ (b) The maximum of the area happens when $x=\frac{375}{5}=75$ with $A=28125ft^2$
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