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

Multiple Choice

Let $\mathbf { F } ( x , y , z ) = x y \mathbf { i } + z \mathbf { j } + ( x + y ) \mathbf { k }$ and S is the region bounded by $x = 4 - z , y = 4$ and the coordinate planes. Using the Divergence Theorem, $\iint S$ $\mathbf { F } \cdot \mathbf { n } d S$ is

A) 48
B) 54
C) 60
D) 64
E) 72