Maximize $p = 12 x + 10 y$ Subject To $$\begin{aligned}x + y & \leq 40 \\x & \geq 1 \\- x + 2 y & \geq 0 \\x \geq 0 , y & \geq 0\end{aligned}$$

Multiple Choice

Maximize $p = 12 x + 10 y$
Subject to
$$\begin{aligned}x + y & \leq 40 \\x & \geq 1 \\- x + 2 y & \geq 0 \\x \geq 0 , y & \geq 0\end{aligned}$$

A) $p = 1,360$ , $x = 80$ , $y = 40$
B) $p = \frac { 560 } { 3 }$ , $x = \frac { 40 } { 3 }$ , $y = \frac { 80 } { 3 }$
C) $p = \frac { 1,360 } { 3 } , x = \frac { 80 } { 3 } , y = \frac { 40 } { 3 }$
D) $p = 1,280$ , $x = 40$ , $y = 80$
E) no solution