Solve the Given Problem by Using Substitution $f ( x , y , z ) = 3 - x ^ { 2 } - x - y ^ { 2 } + y - z ^ { 2 } + z$

question 39

Multiple Choice

Solve the given problem by using substitution.
Find the maximum value of $f ( x , y , z ) = 3 - x ^ { 2 } - x - y ^ { 2 } + y - z ^ { 2 } + z$ subject to $y = 3 x$ .

• A) \(f _ { \max } = 3.225\)
• B) \(f _ { \max } = 3\)
• C) \(f _ { \max } = 3.35\)
• D) \(f _ { \max } = 2.775\)
• E) \(f _ { \max } = 2.45\)

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