D$\mathrm{.}8$ Manitoba's Stephen Allen Electronics Corporation retains a service crew to repair machine breakdowns that occur

on an average of $1=3$ per $8-$hour workday $($approximately Poisson

in nature$).$ The crew can service an average of M $=8$ machines per

workday, with a repair time distribution that resembles the exponential distribution.

a$)$ What is the utilization rate of this service system?

b$)$ What is the average downtime for a broken machine?

c$)$ How many machines are waiting to be serviced at any given time?

C