QUESTION 12 (This problem description is used for Questions 9, 10, 11, 12 13) The Bumper Car Amusement attractions has a problem of cars becoming disabled and in need of repair. Repair personnel can be hired at the rate of $20 per person per hour, but they only work as one team. Thus, if one person is hired, he or she works alone; two or three people work together on the same repair as a team. One repairer can fix cars in an average time of 25 minutes per car. On average, two repairers take 15 minutes and three take 10 minutes to fix a car. Suppose that the service time to fix a car is exponentially distributed for any number of repairers hired. While these cars are down, lost income is $40 per hour per car. Cars tend to break down following a Poisson process (i.e., the inter-arrival time is exponentially distributed) at the rate of 2 cars per hour. (Hint: model a service team as one server) Find the total cost (labor cost + lost revenue) per hour if 3 repairers are hired. $100 $90 $60 $120 $125 $80 QUESTION 13 (Use the information from the previous question and the below information for this question) Suppose that one repairer is hired and his service time to fix a car is exponentially distributed with the mean/average of 30 minutes. Everything else stays the same. What is the cost per hour for the firm? $2000 $5000 Infinity $100000 $1000