Power supply reliability revisited Consider again the scientific station whose power supply is supplied by three generators, the availability of which you modeled as a Markov chain in Problem 4 of Assignment 2. For that model, answer the following questions.

a) Compute the solution to the GBE for that model. Is the solution unique?

b) Compute the long run average fraction of the time that the station experiences power supply disruptions (either partial or blackouts).

c) In the long-run, what fraction of her time does the technician spend repairing generators?

d) Compute the long-run average daily cost of power supply disruptions and generator maintenance for this scientific station.

e) Compute the long-run average number of generators in working condition at the station.