uppose you want to maximize the function V = xy2 , with x, y positive, subject to the restriction x2+2y2 = 6, using the Lagrange multipliers technique. By solving the corresponding system to this problem the following relationship between the variables is obtained: Answers: A) x = −y B) x = y C) 2x2 = y2 D) x2 = 2y2

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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uppose you want to maximize the function V = xy2 , with x, y positive, subject to the restriction x2+2y2 = 6, using the Lagrange multipliers technique. By solving the corresponding system to this problem the following relationship between the variables is obtained:

Answers:

A) x = −y
B) x = y
C) 2x2 = y2
D) x2 = 2y2

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