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

question 109

Multiple Choice

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

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

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