For the given simplex tableau, (a) list the basic and the
nonbasic variables, (b) find the basic feasible solution
determined by setting the nonbasic variables equal to 0,
and (c) decide whether this is a maximum solution.
\begin{bmatrix}
3 & 0 & 2 & 0 & 1 & 0 & 20 \\
6 & -2 & 1 & 1 & 0 & 0 & 18 \\
4 & 1 & 2 & 0 & 0 & 1 & 16
\end{bmatrix}
(a) What are the basic variables?
$S_1, S_2, Z$
(Use a comma to separate answers as needed.)
What are the nonbasic variables?
$X_1, X_2, X_3$
(Use a comma to separate answers as needed.)
(b) Find the basic feasible solution by setting the nonbasic variables equal to 0.
$x_1 = \Box, x_2 = \Box, x_3 = \Box, s_1 = \Box, s_2 = \Box, z = \Box$
