2) Table below lists the sequence of machine types required for nine part types and also shows the annual volume of production for each. \begin{tabular}{|l|l|l|}\hline \multicolumn{3}{|l|}{TABLE 6.10}\\\hline \multicolumn{3}{|l|}{Part Routing and Volume Information for Exercise 7}\\\hline Part Type Number & Sequence of Machine Types Visited & Production Volume \\\hline 1 & 3,5,2 & 3000\\\hline 2 & 3,5 & 1000\\\hline 3 & 4,6,1 & 8550\\\hline 4 & 1,4 & 2750\\\hline 5 & 6,4 & 9000\\\hline 6 & 1,6 & 500\\\hline 7 & 2,5,3 & 300\\\hline 8 & 5,3 & 3600\\\hline 9 & 6,1,4 & 4110\\\hline \end{tabular} a) Set up a part machine matrix for this data. b) Assuming the transfer batch size for part types 1-4 is 30, part types 5-8 is 15, and part type 9 is 10, determine the frequency of trips matrix using the matrix that was set up in (a).