To determine wether a variable is a basic variable or not in a simplex tableu we have to look for the variables which have a one in a column and all the other values are zero, the variables that fullfil this condition are the basic ones.
Looking at the tableu we notice that the basis variables are: x2, s5 and Z. Now that we know that, we look at each row where the number one appear and put all the other variables equal to zero, with this in mind we conclude that:
[tex]\begin{gathered} x_1=0 \\ x_2=17 \\ s_3=0 \\ s_4=0 \\ s_5=29 \\ Z=12 \end{gathered}[/tex]
