Use the Simplex Method to Maximize $p = 3 x + 8 y + z$

Short Answer

Use the simplex method to maximize $p = 3 x + 8 y + z$ subject to the following.
​ $\begin{aligned}6 x + 2 y + 2 z & \leq 30 \\x + 3 y + 4 z & \leq 6 \\3 x + 5 y + 5 z & \leq 14\end{aligned}$ $x \geq 0 , y \geq 0 , z \geq 0$ ​ $p =$ __________
​ $x =$ __________
​ $y =$ __________
​ $z =$ __________