Use Lagrange Multipliers to Find the Maximum Value of the Function

question 26

Multiple Choice

Use Lagrange multipliers to find the maximum value of the function subject to the given constraint.
$$f ( x , y , z ) = 14 x + 8 y + 12 z , x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 101$$

• A) \(f ( 14,8,12 ) = 404\)
• B) \(f ( 20,9,18 ) = 568\)
• C) \(f ( 7,4,6 ) = 202\)
• D) \(f ( 18,17,5 ) = 308\)
• E) \(f ( 8,4,12 ) = 212\)

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