Let $\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } + 2 y z \mathbf { j } + 3 z \mathbf { k }$

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = 2 x \mathbf { i } + 2 y z \mathbf { j } + 3 z \mathbf { k }$ and S is the region bounded by $x + y + z = 1$ and the coordinate planes. Using the Divergence Theorem, $\iint S$$\mathbf { F } \cdot \mathbf { n } d S$ is

A) $\frac { 19 } { 12 }$
B) $\frac { 17 } { 12 }$
C) $\frac { 13 } { 12 }$
D) $\frac { 11 } { 12 }$
E) $\frac { 7 } { 12 }$