Consider the given table which lists the sequence of visited machines for nine part types. Determine the machine groups and part families for the data using ROC algorithm. (Hint: Write machines to columns and parts to rows for developing the matrix. Also, start by assigning binary weights to columns first.) (40 pts) Part Type Sequence of visited machines 1 B-C-E 2 C-E 3 A-D-F 4 A-D 5 D-F 6 A-F 7 B-C-E 8 C-E 9 A-D-F a) b) c) d) e) Machines A-C-E / Parts: 3,9,4,6,8 & Machines D-F-B / Parts: 1,7,2,5 Machines A-D-E / Parts: 3,4,6,7,8 & Machines C-E-B / Parts: 1,5,2,9 Machines A-B-C/ Parts: 1,2,3,4,5 & Machines D-E-F / Parts: 6,7,8,9 Machines A-D-F / Parts: 3,9,4,6,5 & Machines C-E-B / Parts: 1.7.2,8 Machines A-D-E / Parts: 3,9,4,6,5 & Machines B-C-F/ Parts: 1,7,2,8