Minimize $c = 5.45 x + y + 1.5 z + w$

Multiple Choice

Minimize $c = 5.45 x + y + 1.5 z + w$
Subject to
$$\begin{aligned}5.12 x - y + w & \geq 1,500 \\z + w & \geq 1,500 \\1.12 x + y & \leq 1,000 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}$$

A) $c = 1,500$ , $x = 0$ , $y = 1,500$ , $z = 0$ , $w = 0$
B) $c = 1,500$ , $x = 0$ , $y = 0$ , $z = 0$ , $w = 1,500$
C) $c = 1,500$ , $x = 0$ , $y = 0$ , $z = 1,500$ , $w = 0$
D) $c = 8,175$ , $x = 1,500$ , $y = 0$ , $z = 0$ , $w = 0$
E) $c = 2,250$ , $x = 0$ , $y = 0$ , $z = 1,500$ , $w = 0$