Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 14 - Partial Derivatives - 14.1 Exercises - Page 912: 3

Answer

$94.2 million dollars This value shows that value of the production is 94.22 million dollars when 120,000 hours of labor are completed yearly, and 20 million dollars are invested.

Work Step by Step

Find P(120,20) by plugging in L = 120 and K = 20: $P\left(120,20\right)=1.47\left(120\right)^{0.65}20^{0.35}\approx94.2$
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