Question: Consider a queuing system with 3 servers. It is assumed that clients arrive according to a Poisson distribution with an average rate of 2 clients

Consider a queuing system with 3 servers. It is assumed that clients arrive according to a Poisson distribution with an average rate of 2 clients per minute and that the service time of each server follows an exponential distribution with an average service rate of 1 client per minute. The queue manager would like there to be no client in the queue at least 90% of the time. Also, the average time spent in the queue should not exceed 1 minute. Does the current system meet each of these two criteria? Justify your response.

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