Use the method of Lagrange multipliers to maximize the function subject to the given constraint. (Round your answers to three decimal places.) Maximize the function f(x, y) = 6x + 9y - 5x2 - 2y2 subject to the constraint x + 4y = 5. maximum of at (x, y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
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Use the method of Lagrange multipliers to maximize the function subject to the given constraint. (Round your answers to three decimal places.)
Maximize the function f(x, y) = 6x + 9y - 5x2 - 2y2 subject to the constraint x + 4y = 5.
maximum of
at (x, y) =
Transcribed Image Text:Use the method of Lagrange multipliers to maximize the function subject to the given constraint. (Round your answers to three decimal places.) Maximize the function f(x, y) = 6x + 9y - 5x2 - 2y2 subject to the constraint x + 4y = 5. maximum of at (x, y) =
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