Minimize $c = - x + 4 y$ Subject To $$\begin{aligned}y & \leq \frac { 3 x } { 4 } \\x & \leq 4 y \\y & \geq 3 \\x & \geq 4 \\x + y & \leq 15\end{aligned}$$

Multiple Choice

Minimize $c = - x + 4 y$ subject to $$\begin{aligned}y & \leq \frac { 3 x } { 4 } \\x & \leq 4 y \\y & \geq 3 \\x & \geq 4 \\x + y & \leq 15\end{aligned}$$

A) Min: $c = - 8$ , $x = 4$ , $y = 3$
B) Min: $c = 8$ , $x = 4$ , $y = 3$
C) Min: $c = 0$ , $x = 12$ , $y = 3$
D) Min: $c = 1$ , $x = 12$ , $y = 3$
E) Min: $c = - 0$ , $x = 4$ , $y = 3$