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Use Lagrange Multipliers to Solve the Given Problem f(x,y)=xyf ( x , y ) = x y

Question 109

Multiple Choice

Use Lagrange Multipliers to solve the given problem.
Find the maximum value of f(x,y) =xyf ( x , y ) = x y subject to 2x+y=602 x + y = 60 .


A) fmax⁡=10f _ { \max } = 10
B) fmax⁡=450f _ { \max } = 450
C) fmax⁡=30f _ { \max } = 30
D) fmax⁡=2f _ { \max } = 2
E) fmax⁡=225f _ { \max } = 225

Correct Answer:

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