Answered: The function f(x,y)=7xy has an…

The function f(x,y)=7xy has an absolute maximum value and absolute minimum value subject to the constraint 2x^2+2y^2−3xy=49. Use Lagrange multipliers to find these values.

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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Question

The function

f(x,y)=7xy

has an absolute maximum value and absolute minimum value subject to the constraint

^{2x^2+2y^2−3xy=49.}

Use Lagrange multipliers to find these values.

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