Question

Consider an espresso stand with a single barista. 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 minute. 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 and service time) to be a maximum of 6 minutes on average, then the service rate must:__________
A. decrease by 2 to 33 customers per hour.
B. decrease by 3 to 32 customers per hour.
C. increase by 3 to 38 customers per hour.
D. increase by 2 to 37 customers per hour.

Answer 1

Answer:

A. decrease by 2 to 33 customers per hour.

Explanation:

Espresso stand with single barista has a service rate of 35 customers per minute. The customers arrival rate is 28 per hour. Maximum wait and service time is 6 minutes per customer, then the service rate should decrease by 2 to 33 customers per hour.