A. Consider a machine that has a natural process time of 1 minute (deterministic) when it works but is subject to failures with MTTF-100 minutes and MTTR=10 minutes. Assume cr=1. This machine receives parts every 1.5 minutes from the previous process (deterministic). a. What is the availability of this machine? b. What is the average effective process time, te, for this machine? c. What is the squared coefficient of variation of the process time, ce2? d. How long does the average part wait in queue in front of this machine before being served? Suppose you are observing parts come out of this machine. e. What is the average rate with which parts depart this machine and arrive to the next machine? f. What is the squared coefficient of variation of inter-departure times from this machine? Please perform the above steps without VUT calculator in order to practice each step of the process. (Then you can verify them with VUT.) (Clarification: Deterministic processing time means that every job takes the same amount of time, e.g., 7 min, 7 min, 7 min, ... Thus, standard deviation = 0, and thus coefficient of variability is 0. Similarly, for inter-arrival times, if they are deterministic, then coefficient of variability is O.)