(20) A machine processes jobs. We have a sequence of j ob interarrival times iaj. We also have a sequence of j ob service times 5}. In addition to normal queueing behavior, the machine can fail. We have a sequence of numbers jj, in {0,1} that determine whether the machine fails or not. If 13- = 1, the machine fails after job j nishes. Otherwise, it does not. We have a sequence of numbers rk that are the repair times for the failure instances. After a repair, the machine can start processing jobs. a. (10) What are the state variables for this system? b. (10) Specify the initialization logic. Identify the events and logic for each event. c. (Extra credit + 5) Describe in words how the logic would need to change if instead of fjwe use i f k, a sequence of time-tofailure times (time from end of repair until next failure). What problem do you see that isn't addressed in the problem description