Find the maximum in the function of the previous problem subject to the constraint x + y

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Find the maximum in the function of the previous problem subject to the constraint x + y = 2. Do this by substitution and by Lagrange’s method of undetermined multipliers.

Previous Problem

Find the location of the maximum in the function

f = f (x,y) = x² − 6x + 8y + y²

considering the region 0 < x < 2 and 0 < y < 2.

What is the value of the function at the maximum?

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Mathematics for Physical Chemistry

ISBN: 978-0124158092

4th Edition

Authors: Robert G. Mortimer

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Question Posted: Dec 28, 2018 08:14 AM

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Find the maximum in the function of the previous problem subject to the constraint x + y

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Step by Step Answer:

We replace y by 2 x This vanishes at x 0 corresponding to 02 w...View the full answer

Mathematics for Physical Chemistry

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