Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Section 3.1 - Quadratic Functions and Models - 3.1 Exercises - Page 253: 58

Answer

number of vines $n = 850$ maximum grape production $A(n)= 7225$

Work Step by Step

Calculate the maximum of the function by substituting the values from the function into $n_{MAX}=\frac{-b}{2a}\rightarrow n_{MAX}=150$ which is the number of additional vines. Then substitute $n=150$ into the function to get the maximum grape production. Since n represents the number of additional vines only, we should add them to the original number of vines planted $\rightarrow 700+150=850$
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