Minimize $c = 2 x + y + 3 z$ Subject To

Multiple Choice

Minimize $c = 2 x + y + 3 z$
Subject to
$$\begin{aligned}x + y + z & \geq 150 \\2 x + y & \geq 30 \\y + z & \geq 40 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$

A) $c = 450$ , $x = 0$ , $y = 0$ , $z = 150$
B) $c = 300$ , $x = 150$ , $y = 0$ , $z = 0$
C) $c = 150$ , $x = 0$ , $y = 150$ , $z = 0$
D) $c = 30$ , $x = 0$ , $y = 30$ , $z = 0$
E) no solution