An I.T. team repairs computers that break down at an average of λ = 2.5 per hour (approximately Poisson in nature). The team can service an average of 2 computers every 30 minutes with a repair time distribution that approximates an exponential distribution. The department is open 10 hours per day. The team’s approximate cost $125 per hour. The cost associated with lost productivity from the breakdown is estimated at $55 per hour (or any fraction thereof).
What is the utilization rate?
A) 85.3%
B) 38%
C) 47%
D) 79.5%
E) 62.5%