Linear programming problem. Please include all the steps.

2 (5 points). You run a small company that depends on internet sales. You have 3 computer servers to manage the internet activity. These servers are very important. Each one breaks down about once every 3 weeks with an exponentially distributed inter-breakdown time. About 80% of the time you can x the problem quickly with an average repair time of 1/2 hour. The remaining 20% of the time, the repair is more difcult and the average repair time is 6 hours. Both repair times are exponentially distributed. (a) Set up the rate diagram for this queue. (b) Give the balance equations. (0) Find the fraction of time all servers are working. (d) Find the average time that an out-oforder server has to be taken off line before being worked on