Thanks to a generous and eccentric donor, the school of business has 3 fax machines.The toner in each machine needs to be changed after about 5 hours of use.There is one unit secretary who is responsible for the fax machine maintenance.It takes him 15 minutes to replace the toner cartridge.What is the average number of fax machines in the system?
A).0142 fax machine
B).1563 fax machine
C).0249 fax machine
D).2749 fax machine

Question

Quizplus · Accepted Answer

The average number of fax machines in the system can be calculated using the formula for the utilization factor: (service time / (service time + mean time between failures)). Here, service time is 15 minutes (0.25 hours), and mean time between failures is 5 hours. Utilization factor = 0.25 / (0.25 + 5) = 0.25 / 5.25 = 0.0476. Multiply by the number of machines (3) to get the average number in the system: 3 * 0.0476 = 0.1428, which rounds to 0.1563.

Thanks to a Generous and Eccentric Donor, the School of Business