Following Table lists the sequence of machine types required for 12 part types and also shows the annual volume of production for each. Assume the transfer batch size for part types 1, 4, and 5 is 60; part types 2, 3, 6, 10, 11, and 12 is 20; and part types 79 is 50.

Determine machine groups and part families for the data using: (a) ROC algorithm (b) SC algorithm

Part Routing and Volume Information \begin{tabular}{ccc} Part Type # Sequence of Machine Types Visited & Production Volume \\ 1 & 2,5,6 & 13,000 \\ 2 & 1,4 & 4,000 \\ 3 & 4,1,3 & 2,500 \\ 4 & 5,6 & 6,700 \\ 5 & 6,2 & 1,000 \\ 6 & 1,3,4 & 5,000 \\ 7 & 2,5,3 & 9,090 \\ 8 & 5,2 & 13,090 \\ 9 & 2,5 & 13,000 \\ 10 & 1,3 & 13,000 \\ 11 & 4,3 & 13,090 \\ 12 & 3,1,4 & 15,000 \end{tabular}