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

Multiple Choice

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

A) $c = 400$ , $x = 8$ , $y = 0$ , $z = 0$
B) $c = 716$ , $x = 8$ , $y = 6$ , $z = 5$
C) $c = 88$ , $x = 0$ , $y = 0$ , $z = 8$
D) $c = 100$ , $x = 2$ , $y = 0$ , $z = 0$
E) no solution