Use the following scenario and data for all questions An auto service center pro

Question

Use the following scenario and data for all questions An auto service center provides two types of services, Tire Replacement (T) and Oil Change (O). About 30% of the customers are for Tire Replacement and the other 70% are for Oil Change. All customers are serviced on a first come first served basis. During regular hours, customers arrive at the service center according to the probability distribution in the following table Time Between Arivals Minutes)o 0.150 100 150 20a 0.400 Totalo 1.000 Two technicians are working at the service center and both of them are skillful enough for both Tire Replacement and Oil Change. Once finishing the job for a customer, a technician will take care of the next customer waiting in line. When both technicians are idle, the one who finished the last job earlier will take care of the next incoming customer. The times taken by the two jobs by any of the technicians follow the probability distributions in the following tables. You are required to simulate the operations of the auto service center for 15 customers. Oil Change Service Time (Minutes) Probability Service Time (Minutes) Probability 0.25 0.40 0.15 1.00 0.40 30 35 Total 0.10 1.00 Total Before answering the following questions, you may use the following tables to determine the cumulative probability distributions and assign random number intervals for customer arrivals, customer service types, and time needed for both types of services. Custorner Service Types Service Probability Probability Interval Customer Arrival between Probability ProbabilityInterval CumulativeNumber CumulativeNumber 0.15 10 15 20 Tire (T oil (o) Total 0.70 1.00 .20 Total 1.00 CumulativNumber Probability Probability Interval Probability Probability Interval 25 30 35 Total 040 0.15 1.00 0.10 Total 1.00

Explanation / Answer

11. for the 5th customer the times are 10 and 45, option A is the correct one. the cumulative time till 4th customer is 35 only. if the next customer service time is 10 then total cumulative time becomes 45. the remaining options are giving wrong time allocations. Hence option A is correct one

12. option C is correct, the remaining options are wrong.

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