Evaluate $\iint _ { S } f ( x , y , z ) d S$

Multiple Choice

Evaluate $\iint _ { S } f ( x , y , z ) d S$ .
$f ( x , y , z ) = x + y ; S$ is the part of the plane $2 x + 4 y + 3 z = 24$ in the first octant.

A) $72 \sqrt { 29 }$
B) 0
C) $\sqrt { 403 }$
D) $\sqrt { 273 }$