The Eskom Power Company provides electricity to a large metropolitan area through a series of almost $200$ hydroelectric generators. Management recognizes that even a well$-$maintained generator will have periodic failures or breakdowns. Energy demands over the past $3$ years have been consistently high, and the company is concerned over downtime of generators. It currently employs four highly skilled repairpersons at R$30$ per hour. Each work every fourth $8-$hour shift. In this way, there is a repairperson on duty $24$ hours a day, $7$ days a week. As expensive as the maintenance staff salaries are, breakdown expenses are even higher. For each hour that one of its generators is down, Eskom loses approximately R$75.$ This amount is the charge for reserve power that Eskom must $$borrow$$ from the neighbouring utility company. You have been assigned to conduct a management analysis of the breakdown problem. You determine that simulation is a workable tool because of the probabilistic nature of this problem. You decide the objective is to determine $($a$)$ the service maintenance cost, $($b$)$ the simulated machine breakdown cost, and $($c$)$ the total of these breakdown and maintenance costs $($which gives the total cost of this system$).$ Since the total downtime of the machines is needed to compute the breakdown cost, you must know when each machine breaks and when each machine returns to service.