For the next 7 questions, please refer to the followinginformation.
Mr. Cherry owns a gas station on a highway in Vermont. In theafternoon hours, there are, on average, 30 cars per hour passing bythe gas station that would like to refuel. However, because thereare several other gas stations with similar prices on the highway,potential customers are not willing to wait—if they see that all ofthe pumps are occupied, they continue on down the road.
The gas station has three pumps that can be used for fuelingvehicles, and cars spend four minutes, on average, parked at a pump(filling up their tank, paying, etc.).
d. What is the probability that all three pumps are being usedby vehicles?
- A. 0.1895
- B. 0.1650
- C. 0.1458
- D. 0.2105
e. How many customers are served every hour?
- A. 23.7
- B. 25.6
- C. 12.7
- D. 16.7
f. What is the utilization of the pumps?
- A. 0.63
- B. 0.83
- C. 0.53
- D. 0.73
g. How many pumps should it have to ensure that it captures atleast 98 percent of the demand that drives by the station?
