Q.2. A flexible manufacturing system is used to produce four parts. The FMS consists of one load/unload station and two automated processing stations (processes X and Y ). The number of servers for each station type is to be determined. The FMS also includes an automated conveyor system with individual carts to transport parts between servers. The carts move the parts from one server to the next, drop them off, and proceed to the next delivery task. Average time required per transfer is 3.5 minutes. The following table summarizes the FMS: All parts follow the same routing, which is 1231. The product mix and processing times at each station are presented in the table below: Required production is 10 parts per hour, distributed according to the product mix indicated. Use the bottleneck model to determine: (a) the minimum number of servers at each station and the minimum number of carts in the transpor system that are required to satisfy production demand; and (20-Mark) (b) the utilization of each station for the answers above. (10-Mark)