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PA 16-17 (Algo) The organizers of a conference in the Houston... The organizers of a conference in the Houston Convention Cen

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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) = 5.40 x per hour

Therefore to service 15 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

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