(30%) 4) A Machine-Component Matrix is given below for seven machines and 10 components. Machine 1 2 3 4 5 6 7 8 From: 1 2 3 4 5 6 1 7 8 1 1 To:1 0 0 10 0 0 2 1 10 0 0 1 1 1 Machine-Component Incidence Matrix Component 5 A To-From Chart is given for the 7 machines. 2 0 0 0 3 1 0 10 0 30 0 1 1 1 1 1 3 20 0 4 1 0 5 0 0 1 0 0 1 1 From-To Chart 1 1 1 4 0 0 0 0 0 0 10 10 1 Machine 5 0 20 0 0 0 0 10 0 6 1 1 1 1 1 6002 10 20 0 0 0 0 0 4(a) Calculate the similarity coefficients for the eight machines. 7 1 1 1 7 0 10 0 0 10 0 0 0 8 1 1 1 1 1 8 0 0 0 50 5 0 0 9 1 1 1 10 1 1 1 4(b) Construct a dendrogram based on the above similarity coefficients. 4(c) Determine grouping of machines in workcells based on the dendogram constructed in Part 4(b). Justify your answer. 4(d) Using the To-From data given above, and the dendogram results, determine the most logical cell layout for the work cells determined in part 3 (c). Justify your answer.