Find the Maximum Value of the Function $f ( x , y ) = 6 - 4 x ^ { 2 } - y ^ { 2 }$

question 121

Multiple Choice

Find the maximum value of the function $f ( x , y ) = 6 - 4 x ^ { 2 } - y ^ { 2 }$ subject to the constraint that $4 x + y = 5$ .

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { 1 } { \sqrt { 2 } }\)
• C)1
• D) \(\sqrt { 2 }\)
• E)2
• F) \(2 \sqrt { 2 }\)
• G)4
• H) \(4 \sqrt { 2 }\)

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