A mechanic repairs 4 machines. The mean time between service requirem…

Previous year question for Optimisation Techniques.

Question

A mechanic repairs 4 machines. The mean time between service requirements is 5 hours for each machine and forms an exponential distribution. The mean repair time is 1 hour and also follows the same distribution pattern. Machine down time costs Rs. 25 per hour and the mechanic costs Rs. 55 per day. Find (a) Expected number of operating machines, (b) the expected down time cost per day, (c) Would it be economical to engage two mechanics, each repairing only two machines?

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