In a batch machining operation on a conventional machine, setup time is 2.5 hours and batch size is 100 units. The cycle time consists of pa handling time of 50sec and processing time of 1.25min. One part is produced each cycle. Tool changes must be performed every 10 parts and th takes 3.0min. The reliability of this machine is characterized by mean time between failures of 40 hours and a mean time to repair of 50mi Determine [1+1+1+2+3=8] 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 the setup time. Determine the average hourly producti rate of the machine