Minimize $c = 50 x + 50 y + 11 z$

Multiple Choice

Minimize $c = 50 x + 50 y + 11 z$
Subject to
$$\begin{aligned}2 x + z & \geq 8 \\2 x + y - z & \geq 4 \\3 x + y - z & \leq 6 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$

A) $c = 399$ , $x = 5$ , $y = 1$ , $z = 9$
B) $c = 494$ , $x = 5$ , $y = 4$ , $z = 4$
C) $c = 161$ , $x = 2$ , $y = 1$ , $z = 1$
D) $c = 344$ , $x = 2$ , $y = 4$ , $z = 4$
E) no solution