Question: Consider an M/M/1/3 system with a server that has exponential time between breakdowns and exponential repair times. Develop the rate-node diagram that connects the states of this system. Given an arrival rate of 5 jobs per hour, a service rate of 4 jobs per hour, a breakdown rate of once per hour, and a mean repair time of 10 minutes, determine the steady-state probabilities for the system states and compute the system performance measures of WIPs, CTs and ths . In addition, compute the proportion of the time that the machine is idle, down (i.e., under repair), and processing.