2. Consider the following LP: (25 pts)
\[
\begin{array}{r}
\operatorname{Max} .2 x_{1}+3 x_{2} \\
\text { s. t. } 2 x_{1}+x_{2} \leq 4 \\
x_{1}+2 x_{2} \leq 5 \\
x_{1}, x_{2} \geq 0
\end{array}
\]
Solve it using the simplex method in tableau form discussed in class.