(Solved): Consider the following linear program: \[ \begin{array}{cl} \min & 2 x_{1}+3 x_{2} \\ \text { s.t. ...

Consider the following linear program: \[ \begin{array}{cl} \min & 2 x_{1}+3 x_{2} \\ \text { s.t. } & 2 x_{1}+x_{2} \leq 16 \\ & x_{1}+3 x_{2} \geq 26 \\ & x_{1}+2 x_{2}=8 \\ & x_{1}, x_{2} \geq 0 \end{array} \] (a) Convert this LP to standard form. Is standard form also canonical form? (b) Use the Simplex Method (both phases if necessary) to either find an optimal solution for this LP or explain why it is impossible to do so.