Identical machines operate independently in a small shop. Each machine is up (i.e., works) for between 10 and 18 hours (uniformly distributed) and then breaks down. There are 3 repair technicians available. The repair time for repairing a machine follows an exponential distribution with a mean of 7.5 hours. Only one technician can be assigned to work on a broken machine, even if another technician is idle. If more than 3 machines are broken down at a given time, they form a (virtual) FIFO “repair” queue and wait for the first available technician. A technician works on a broken machine until it is fixed, regardless of what else is happening in the system. All uptimes and downtimes are independent of each other. At the beginning of the simulation all machines are at the beginning of an “up” time. Simulate this for 140 hours and observe the timeaverage number of machines that are down (in repair or in queue for repair), as well as the utilization of the repair technicians as a group. Calculate relevant performance metrics for this system.