The following table lists the weekly quantities and routings of ten parts that are being considered for cellular manufacturing in a machine shop. Parts are identified by letters and machines are identified numerically. For the data given,
(a) Develop the part-machine incidence matrix, and
(b) Apply the rank order clustering technique to the part-machine incidence matrix to identify logical part families and machine groups.

Weekly quantity 50 20 75 10 12 Weekly quantity 60 Part Machine Part Machine routing 3-27 6-1 6-5 6-5-1 3-27 routing 100 40 15 3-2 4 3-2 47 2-4-7 5-6-1