Find the Flux of the Vector Field F Across the Surface

Multiple Choice

Find the flux of the vector field F across the surface S in the indicated direction.
- $\mathbf { F } = 7 x \mathbf { i } + 7 y \mathbf { j } + \mathrm { z } \mathbf { k }$ ; $\mathrm { S }$ is portion of the plane $x + y + z = 4$ for which $0 \leq x \leq 3$ and $0 \leq y \leq 4$ ; direction is outward (away from origin)

A) 276
B) - 204
C) 600
D) 300