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 part 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 this takes 3.0min. The rellablility of this machine is characterized by mean time between failures of 40 hours and a mean time to repalr of 50min. 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 avallability is ignored. d) Average hourly production rate of the machine if avallability 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 production rate of the machine