Use the simplex method to maximize subject to

Adding the slack variables and to the inequalities gives:
This gives the first tableau:\begin{tabular}{|c|c|c|c|c|c|c|}\hline & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & \\ \hline \end{tabular}
The pivot row is and the pivot column is . The departing variable is and the incoming variable is . Pivoting using the row operations:


\begin{tabular}{|c|c|c|c|c|c|c|}\hline & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & \\ \hline \end{tabular}
The pivot row is and the pivot column is . The departing variable is and the incoming variable is . Pivoting using the row operations:


\begin{tabular}{|c|c|c|c|c|c|c|}\hline & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & \\ \hline & & & & & & \\ \hline \end{tabular}
There are no negative values in row and this is the final tableau.The value of is . The value of is . The max value is