An espresso stand has a single server. Customers arrive to the stand at the rate

Question

An espresso stand has a single server. Customers arrive to the stand at the rate of 28 per hour according to a Poisson distribution. Service times are exponentially distributed with a service rate of 35 customers per hour. If the arrival rate remains at 28 customers per hour and the stand's manager wants to have the average time a customer spends in the system (i.e., wait time line and service time) to be a maximum of 6 minutes on average, then the service rate must decrease by 2 to 33 customers per hour decrease by 3 to 32 customers per hour increase by 3 to 38 customers per hour increase by 2 to 37 customers per hour

Explanation / Answer

Question:- An espresso stand has a single server. Customer arrive to the stand at the rate of 28 per hour according to a Poisson distribution. Service time are exponentially distributed with a service rate of 35 customers per hour. If the arrival rate remains at 28 customers per hour and the stand's manager wants to have the average time a customer spends in the system to be a maximum 6 minutes on average, then the service must-

Answer:- (c) increase by 3 to 38 customers per hour.

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