solve using direct cluthering by hand

\begin{tabular}{|c|cccccc|} \hline \multicolumn{7}{c}{ Machine \# } \\ Part \# & 1 & 2 & 3 & 4 & 5 & 6 \\ \cline { 2 - 7 } 1 & 0 & 0 & 0 & 0 & 1 & 1 \\ 2 & 1 & 0 & 0 & 1 & 0 & 0 \\ 3 & 0 & 0 & 1 & 0 & 0 & 1 \\ 4 & 1 & 1 & 0 & 0 & 0 & 0 \\ 5 & 1 & 0 & 0 & 0 & 0 & 0 \\ 6 & 0 & 0 & 0 & 0 & 1 & 1 \\ 7 & 0 & 1 & 0 & 1 & 0 & 0 \\ 8 & 0 & 0 & 1 & 0 & 0 & 1 \\ \hline \end{tabular} 1=2=2=2=2=111=2=23M52M42M32M22M11M6