The following Table - 1 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. [3] b. Apply the rank order clustering technique and determine the logical part flanilies and machine groups. Determine the decimal equivalent and corresponding rank after each step. Note: Marks will not be awarded if decimal equivalent is not calculated and shown for each step. [5] Part Weekly Quantity Machine Routing A 50 3-2-4 B 20 6-1 75 6-5 D 10 6-5-1 E 12 3-2-7-4 F 60 5-1 G 50 3-2-4 H 100 3-2-4-7 I 40 2-4-7 J 15 5-6-1