Maximize $p = x + 2 y$ Subject To $$\begin{aligned}x + y & \leq 20 \\y & \geq 8 \\2 x - y & \geq 0 \\x \geq 0 , y & \geq 0\end{aligned}$$

Multiple Choice

Maximize $p = x + 2 y$
Subject to
$$\begin{aligned}x + y & \leq 20 \\y & \geq 8 \\2 x - y & \geq 0 \\x \geq 0 , y & \geq 0\end{aligned}$$

A) $p = 80$ , $x = 40$ , $y = 20$
B) $p = 100$ , $x = 20$ , $y = 40$
C) $p = \frac { 80 } { 3 }$ , $x = \frac { 40 } { 3 }$ , $y = \frac { 20 } { 3 }$
D) $p = \frac { 100 } { 3 }$ , $x = \frac { 20 } { 3 }$ , $y = \frac { 40 } { 3 }$
E) no solution