Solve the Problem $f ( x , y , z ) = x + 2 y + 3 z$

question 16

Multiple Choice

Solve the problem.
-Find the maximum value of $f ( x , y , z ) = x + 2 y + 3 z$ subject to $x - y + z = 1$ and $x ^ { 2 } + y ^ { 2 } = 1$ .

• A) \(3 + \sqrt { 29 }\)
• B) \(3 - \sqrt { 37 }\)
• C) \(3 - \sqrt { 29 }\)
• D) \(3 + \sqrt { 37 }\)

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