The question and data are shown in the image.

4. An FMS consists of five stations. Station 1 is a load/unload station with one server. Station 2 performs milling operations with one server. Station 3 performs drilling operations with two servers (two identical CNC drill presses). Station 4 is for performing grinding operations with three identical servers (three identical CNC grinding machines). Station 5 is an inspection station with one server that performs inspections on a sample of the parts. The stations are connected by a part handling system that has two work carriers and a mean transport time = 4.0 min. The FMS produces six parts A, B, C, D, E, and F. The part mix fractions and process routings for the six parts are presented in the table below. Note that the operation frequency at the inspection station (f5jk) is less than 1.0 to account for the fact that only a fraction of the parts are inspected. For this system determine: (a) Maximum production rate of the FMS; (b) Corresponding production rate of each part; (c) Utilization of each station in the system; (d) Overall FMS utilization. Part Part mix A B c D F pj 0.1 0.2 0.15 0.1 0.1 0.35 Op k 1 2 3 4 5 I 2 3 4 5 6 7 I 2 3 4 5 I 2 3 4 1 2 3 4 5 6 1 2 3 4 5 6 Description Load Drill Grind Inspect Unload Load Mill Drill Grind Drill Inspect Unload Load Mill Drill Inspect Unload Load Drill Inspect Unload Load Grind Drill Grind Inspect Unload Load Mill Drill Grind Inspect Unload Station 1 3 4 5 1 1 2 3 4 3 5 1 1 2 3 5 1 3 5 4 3 4 5 1 2 3 4 5 Process time tijk (min) 3 12 28 8 2 3 12 12 33 11 9 2 3 14 11 12 2 3 17 10 2 3 32 13 37 12 2 3 26 13 39 8 2 Frequency fijk 1.0 1.0 1.0 0.4 1.0 1.0 1.0 1.0 1.0 1.0 0.3 1.0 1.0 1.0 1.0 0.2 1.0 1.0 1.0 0.2 1.0 1.0 1.0 1.0 1.0 0.1 1.0 1.0 1.0 1.0 1.0 0.3 1.0