An assembly plant is divided into 6 work centers and each one has machines that I am frequently decalibrated. These have to be taken to the workshop for their respective calibration. Currently each work center has its own maintenance workshop and one mechanic per shop. The arrival rate at each workshop is 5 machines per hour and the arrival rate each mechanic's service is 8 machines per hour. The production manager wants to reduce the system timeout of approximately 20 minutes, to at least one duration 15 minutes. He wishes to hire a consultant to define whether to continue with the current system, or swaps small individual workshops for a large maintenance department that provide the service to all work centers, each time a mechanic is vacated, this will serve the next faulty machine (FIFO). The repairman costs the company $ 50 / hour. The service cost will increase by $ 5 for each additional work center, for the Otherwise, the cost of the service will increase by $ 20 for the second option, due to the great investment to be made by the company. The company loses $ 100 for every hour a machine is out of operation. The consultant must define which of the two options presents the lowest possible cost.