Question: In an N machine one operator environment, five automatic machines are attended by one operator. Every time a machine completes a batch, the operator must

In an N machine one operator environment, five automatic machines are attended by one operator. Every time a machine completes a batch, the operator must reset it before a new batch is started. The time to finish a batch run is exponential with a mean of 45 minutes. The setup time is also exponential with a mean of 8 minutes. Determine

(a) the average number of machines that are waiting for set up.

(b) the probability that all the machines are working.

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