***** Please im need help with Question 2 below :

Question 2

1. (6 pt) A FMS consists of two stations plus a load/unload station. Station 1 loads and unloads parts using one server (material handling worker). Station 2 performs horizontal milling operations with two servers (identical CNC horizontal milling machines). Station 3 performs vertical milling operations with three servers (identical CNC vertical milling machines). The machines are connected by a part handling system that has one work carrier and a mean transport time=2.4 min. The FMS produces three parts, A, B, and C, whose part mix fractions and process routings are presented in the table below. The operation frequency fik = 1.0 for all operations. Determine (a) (4pt) workload (in minutes) for each station (including the material handling), WL:/s ratio for each station (including material handling), identify the bottleneck station, and maximum production rate of the FMS (pc/hr), (b) (1pt) utilization (%) of each machine (station) in the system, including material handling, and (c) (1pt) average utilization (%) of the system. Parti Part mix p Operation k Description Station Process time to Load 2 min 10 min V Mill 20 min 5 min 2 min 16 min H Mill 22 min Unload 5 min Load 2 min V Mill 25 min 14 min Unload 5 min 0.2 1 1 2 H Mill Nm 3 4 Unload 1 B 0.5 1 Load V Mill 2 PNP 3 4 C 0.3 1 1 3 2 Nw 3 H Mill 4 1 (3 pt.) Given the part mix, process routings, and processing times for the three parts in Problem 1: The FMS proposed to machine these parts will operate 20 hours per day, 250 days per year. Assume system availability = 100%. Determine (a) (2pt) how many servers (servers) at each station will be required to achieve an annual production rate of 100,000 parts per year, and (b) (1pt) the utilization (%) of each workstation