in a batch machining operation on a conventional machine,setup time is 2.5 hours and batch size is 100 unit. The cycle time consists of part handling time 50sec and processing time of 1.25 min.one part is produced each cycle.Tool changes must be performed every 10 parts and this takes 3 min.the reliability of this machine is characterized by mean time between failure of 40 hours and a mean time to repair of 50 min.Determine a.Average cycle time b.time to complete the batch c.Average hourly production rate of the machine if availability is ignored d average hourly production rate of the machine if availability is taken into account e. Suppose that availability only applied during the actual run time of the machine and not setup time.determine the average hourly production rate of the machine