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1. A flexible manufacturing cell consists of two machining workstations plus a load/unload station. The load/unload station is station 1 with one server (human worker). Station 2 consists of one CNC machining center. Station 3 has one CNC drill press. The three stations are connected by a part-handling system that has one work carrier. The mean transport time is 2.0 min. The FMC produces three parts, A, B, and C. The part mix fractions and process routings for the three parts are presented in the table below. The operation frequency Íjk 1.0 for all operations Determine (a) maximum production rate of the FMC, (b) corresponding production rates of each product, (c) utilization of each machine in the system, (d) number of busy servers at each station (20 points) Part Part mix Operation Description Station i Load Mill Drill Unload Load Mill Drill Unload Load Drill Mill Unload Process time Tctik 3 imin 20 min 12 min 2 min 3 min 15 min 30 min 2 min 0.2 0.3 0.5 min 14 min 22 min 2 min

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