The Surface Integral $\int \int$ S $( x + y ) d S$

Multiple Choice

The surface integral $\int \int$ S $( x + y ) d S$ where S is $4 x + 3 y + 6 z = 12$ in the first octant, is

A) $\frac { 5 \sqrt { 5 } - 1 } { 6 }$
B) $\frac { 15 \pi } { \sqrt { 2 } }$
C) $\frac { 7 \sqrt { 61 } } { 3 }$
D) $\frac { \sqrt { 3 } } { 6 }$
E) 0