Use the simplex method to maximize $$P = 3 x_1 + 6 x_2$$ subject to $$\begin{array}{rrrrr} x_1 & + & x_2 & \le & 2 \cr 2 x_1 & + & 4 x_2 & \le & 8 \cr \end{array}$$
$$x_1 \ge 0\ \qquad x_2 \ge 0$$

$P =$