Maximize and Minimize $p = 3 x - y$ Subject To $$\begin{array} { l } x + y \geq 3 \\x - y \leq 3 \\x - y \geq - 3 \\x \leq 12 , y \leq 12\end{array}$$

Multiple Choice

Maximize and minimize $p = 3 x - y$ subject to $$\begin{array} { l } x + y \geq 3 \\x - y \leq 3 \\x - y \geq - 3 \\x \leq 12 , y \leq 12\end{array}$$

A) Max: $p = 15$ , $x = 9$ , $y = 12$ , min: $p = - 3$ , $x = 0$ , $y = 3$
B) Max: $p = 27$ , $x = 12$ , $y = 9$ ,
Min: $p = 3$ , $x = 0$ , $y = 3$
C) Max: $p = 27$ , $x = 12$ , $y = 9$ ,
Min: $p = - 3$ , $x = 0$ , $y = 3$
D) the feasible region is empty
E) the objective function is unbounded