Quiz (Lagrange's Multipliers)

Show all work and justify each step.

(1)  Use the method of Lagrange multipliers to maximize the following functions:

    (a) subject to

    (b) subject to

(2) Use the method of Lagrange multipliers to minimize the following functions:

    (a)   subject to

    (b) subject to
    
(3) Use the method of Lagrange multipliers with two parameters.

    (a) Use the method of Lagrange multipliers to minimize   subject to and

    (b) Use the method of Lagrange multipliers to maximize   subject to and

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Cite this as:
Lagrange Multipliers Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/lagrange-multipliers-quiz.html