please solve a through e!

3. (3 pts) I have 4 machines, which goes down from time to time. I can work on the repair job of the machines at any time; however, that friend works on a repair job only when asked by me. His hourly cost is $30. Each machine's MTTF is 40 days. On average, the repair of each machine takes 8 days. Only one person can work on the repair of a machine each time. While I work on a repair job of a machine, II there is another broken machine, I ask that friend for help. When I become idle and my friend is working, I take his place to save his hourly cost. a. Describe the system using Kendall-Lee notation. Also define what the state of the Q- system is using the number of working machines or non-working machines. b. Make a transition rate diagram. Show all rates. c. Determine the steady state distribution. (Get this by solving the balance equations.) d. Determine the average cost of my friend in one month. (One month is 25 days/month 8 hours/day = 200 hours/month). e. Determine the proportion of time of a machine in a working condition. 3. (3 pts) I have 4 machines, which goes down from time to time. I can work on the repair job of the machines at any time; however, that friend works on a repair job only when asked by me. His hourly cost is $30. Each machine's MTTF is 40 days. On average, the repair of each machine takes 8 days. Only one person can work on the repair of a machine each time. While I work on a repair job of a machine, II there is another broken machine, I ask that friend for help. When I become idle and my friend is working, I take his place to save his hourly cost. a. Describe the system using Kendall-Lee notation. Also define what the state of the Q- system is using the number of working machines or non-working machines. b. Make a transition rate diagram. Show all rates. c. Determine the steady state distribution. (Get this by solving the balance equations.) d. Determine the average cost of my friend in one month. (One month is 25 days/month 8 hours/day = 200 hours/month). e. Determine the proportion of time of a machine in a working condition