Answer:
They would need to have at least 3 computers
Explanation:
According to the given data we have the following:
Arrival rate = 15 persons per hour
Servicing rate = 60 / 10 = 6 persons per hour with one computer
Servicing rate with x number of computers = 6x per hour
Servicing rate at 90% utilisation = 6x (0.90) = 5.40x per hour
Therefore to service 13 arrivals per hour, we will need x computers = 15/ 5.40 = 2.78
With 2 computers, the service capacity will be 12 per hour and the utilisation will be 15/12 = 125%, which exceeds the organiser’s standard of 90% utilization.
With 3 computers, the service capacity increases to 18 persons per hour. If only 13 persons arrive, the utilisation rate will be 15 / 18 = 83.33%, below the required maximum of 90% utilisation.
Therefore, the 2.78 can be rounded off to next whole number 3 computers
