Mt. Washington Garage sells regular and unleaded gasoline. Pump 1 is a self-service pump. Pump 2, a full-service pump, is used by customers who are willing to pay a higher cost per gallon to have an attendant pump the gas, check the oil, and so on. Both pumps can service one car at a time. On the basis of past data, the owner of the garage estimates that 70 percent of the customers select the self-service pump and 30 percent want full service. The arrival rate of cars for each minute of operation is given by the following probability distribution:

Number of Arrivals in 1 Minute of OperationProbability

0 ................................................................................. 10

1 ................................................................................. 20

2 ................................................................................. 35

3 ................................................................................. 30

4 ................................................................................. 05

The time needed to service a car, which depends on whether the self-service or full-service pump is used, is given by the following probability distribution:

Study the operation of the system with a 10-minute simulation. As part of your analysis, consider these types of questions. What is the average number of cars waiting for service per minute at both pumps? What is the average time a car must wait for service? Prepare a brief report for Mt. Washington Garage that describes your analysis and any conclusions you are able to draw.

Transcribed Image Text:

Self-Service Pump Service Time (min.) Full-Service Pump Service Time min.) Probability Probability 10 .20 .60 10 20 .30 .35 .10 05 4 4 6