(20 points) The table below lists the sequence of machine types required for nine part types and also shows the annual volume of production for each. a) Set up a part-machine matrix for the data below. 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 from part (a). (40 points) Determine machine groups and part families for the data in the previous exercise using: a) Rank-order clustering heuristic b) Bond energy heuristic c) Row and column masking heuristic d) Similarity coefficient heuristic