Genera Mechanism(00 pts.)16.1(A) A rotary worktable is driven by a Geneva mechanism with five slots. The driver rotates at 24 rev/min. Determine (a) the cycle time, (b) available process time, and (c) indexing time each cycle.Rank order clustering (13 pts.)18.1(A) Apply the rank order clustering technique to the part-machine incideace matrix in the following table to identify logical part families and machine groups. Parts are identified by letters, and machines are identified numerically.\table[[,,Parts,],[Machises,A,B,C,D,B],[1,1,,,,],[2,,1,,,1],[3,1,,,1,],[4,,1,1,,],[5,,,,1,]]Performance Metrics in Cell Operatinas (15pts)18.12 A group-technology cell has three machines and is used to process a family of four parts. The table below lists production quantities (Q), production times (T2D), and machine fractions for each family member ( G ). Assume the nonoperation times (Tm) are all be same at 40 min per machine. Determice (a) average hourly production rate for the cell, (b) utilization of each machine and average utilization of the cell, (c) manufacturing lead time, and (d) work-in-process. A spreadsheet calculator is recommended for this problem. (Fixcel starter provided).\table[[Part,Q,Marchine 1,Machine 2,Machine 3],[T21(min),Fi),Tg (min),F3,Ton(min),0.2],[A,1,4.0,0.4,3.0,0.3,20,],[B,1,2.0,0.2,4.0,0.4,18,0.18],[C,1,5.0,0.1,5.0,0.12,25,0.05],[D,1,4.0,0.3,2.0,0.15,333,0.25]]