A company produces three types (A, B and C) of toy robots. They are of light metals in the following daily volumes A= 1000 robots B= 1500 robots C = 1800 robots The company expects the demand to increase for its product by 30 percent over the next six months and needs to know the total number of machines and operators that will be required. All robots go through five operations (10 through 50) except for robot A that does need operation 40 (see Table). Opn Description Operation Time Location Move time Movement to next Resource operation 10 Die Casting 3 min (outputs 6 parts) Automated 0.3 min Mover Die Caster 20 Cutting Triangular Cutter none (0.25, 0.28.0.35) 30 Grinding Sample times (min): Grinder 0.2 min Mover 23, 22, .26. 22, 25, 23, 24, .22.21. 23. .20, 23, 22.25,23, .24, -23..25..47, 23, .25, 21, 24, .22, 26, 23.25..24.21, 24, 26 40 Coating 12 min. per batch of 24 Coater 0.2 min Mover 50 Inspection Triangular (.27.30,40) Packager To exit with and 88% yield packaging After die casting, robots are moved to each operation in batch sizes of 24. Input buffers exist at each operation. The die caster experiences downtime every 30 minutes exponentially distributed and takes 8 minutes normally distributed with a standard deviation of 2 minutes to repair. One maintenance person is always on duty to make repairs. The factory operates eight hours a day (8:00 am - 4:00 pm), five days per week. During breaks all personnel go to the cafeteria. Shift breaks: (9:45 am-10:00 am), (12:00 pm - 12:30 pm) and (2-30-2:45). Operators clean the machines before the end of the shift for 10 min (3:50 pm - 4:00 pm). You are required to: Find the total number of machines and personnel needed to meet daily production requirements. Document the assumptions and experimental procedure you went through to conduct the study. Simulate your model using Pro Model software