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

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) $3 + \sqrt { 37 }$