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A job shop operates 40 hours per week and produces four-part styles using four station types, some of which have multiple servers. Part-mix ratios, batch

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A job shop operates 40 hours per week and produces four-part styles using four station types, some of which have multiple servers. Part-mix ratios, batch quantities, part routings, machines, servers, setup times and cycle times are given in the table below for the four-part styles produced in the shop. Operation sequence for each part style is in the order of station number. Part styles are identified by letter and stations are identified by number. Part style (1) A B D Part mix Pj 0.25 0.15 0.35 0.25 16 25 20 30 Batch quantities Q, Stations Servers TsuA TA TsuB TCB Tsuc Toc TsuD TCD (1) (si) (hr) (hr) (hr) (hr) (hr) (hr) (hr) (hr) 1 2 2.4 0.25 2.5 0.22 2.8 0.18 3.2 0.42 2 2 1.0 0.12 1.5 0.13 1.4 0.32 1.6 0.38 3 1 2.0 0.18 1.0 0.18 1.5 0.24 4 1 2.1 0.15 2.2 0.08 2.5 0.17 Determine (a) which station is the bottleneck, (b) total weekly output of all five parts, (C) weekly outputs for each of the part styles, (d) utilization of each server at each station, and (e) average utilization of the machine shop. A job shop operates 40 hours per week and produces four-part styles using four station types, some of which have multiple servers. Part-mix ratios, batch quantities, part routings, machines, servers, setup times and cycle times are given in the table below for the four-part styles produced in the shop. Operation sequence for each part style is in the order of station number. Part styles are identified by letter and stations are identified by number. Part style (1) A B D Part mix Pj 0.25 0.15 0.35 0.25 16 25 20 30 Batch quantities Q, Stations Servers TsuA TA TsuB TCB Tsuc Toc TsuD TCD (1) (si) (hr) (hr) (hr) (hr) (hr) (hr) (hr) (hr) 1 2 2.4 0.25 2.5 0.22 2.8 0.18 3.2 0.42 2 2 1.0 0.12 1.5 0.13 1.4 0.32 1.6 0.38 3 1 2.0 0.18 1.0 0.18 1.5 0.24 4 1 2.1 0.15 2.2 0.08 2.5 0.17 Determine (a) which station is the bottleneck, (b) total weekly output of all five parts, (C) weekly outputs for each of the part styles, (d) utilization of each server at each station, and (e) average utilization of the machine shop

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