i need just d and e please

Q.3. A FMS consists of three stations plus a load/unload station. Station I loads and unloads parts using two servers (material handling workers). Station 2 performs horizontal milling operations with two servers (identical CNC horizontal milling machines). Station 3 perfoms vertical milling operations with three servers (identical CNC vertical milling machines). Station 4 performs drilling operations with two servers (identical drill presses). The machines are connected by a part handling system that has two work carriers and a mean transport time = 3.5 min. The FMS produces four parts, A, B, C, and D, whose part mix fractions and process routings are presented in the table below. The operation frequency fx = 1.0 for all operations. Determine (a) maximum production rate of the FMS, (b) utilization of each machine in ths system, and (c) average utilization of the system .. (10-Mark) (10-Mark) (5-Mark) Parti A . B Part mix p Operationk Description Station i 0.2 Load 1 2 H. Mill 2 3 V Mill 3 Drill 4 5 Unload 1 0.2 1 Load 1 Drill 4 3 H. Mill 2 4 V. Mill 3 5 Drill 4 6 Unload 1 0.25 1 Load 1 2 H. Mill 2 3 Drill 4 4 Unload 1 0.35 1 Load 1 2 V. Mill 3 3 Drill 4 4 Unload 1 Process time to 4 min 15 min 14 min 13 min 3 min 4 min 12 min 16 min 11 min 17 min 3 min 4 min 10 min 9 min 3 min 4 min 18 min & min 3 min C D Use the extended bottleneck model with the following number of parts in the system: (d) N=2 parts and (15-Mark) (e) N=4 parts. (15-Mark) Also determine the manufacturing lead time for the two cases of N in (a) and (b). (5-Mark)