1. The DFW International Airport currently operates with one runway. Airplanes arrive at a rate of 17 per hour and the average landing time is three minutes. The estimated average fuel consumption for an aircraft stacking in the air is 10 liters per minute, and a liter of fuel costs $20. Answer the following question under the assumptions of Poisson arrivals and exponential service times.
2. (1)What is the average number of planes stacking in the air and waiting for permission to land?
3. (2)What is the average cost of fuel burned by an aircraft waiting to land?
4. (3)What is the chance of finding less than three airplanes in the airport area including those that are in the waiting line and the one that is landing?
5. (4)How heavily is the runway used on the average?