In a batch machining operation on a conventional machine, setup time is $2\mathrm{.}5$ hours and batch size is $100$ units. The cyde time consists of part

handing time of $50sec$ and processing time of $1\mathrm{.}25$min. One part is produced each cycle tool changes must be performec every $10$ parts and this

takes $3\mathrm{.}0$min. The reliabily of this machine it characterized by mean time between failures of $40$ hours and a mean tirfe to repair of $50$ min

Deternine

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 avaliabily is taken into account.

e$)$ Suppose that avaliability only applied during the actual run time of the machine and not the setup time Determine the aver; ge houny production

rate of the machine