Need answer asap The Peachtree Airport in Atlanta serves light aircraft. It has a single runway and one air traffic controller to land planes. It takes anairplane 8 minutes to land and clear the runway (exponentially distributed). Planes arrive at the airport at the rate of 5 per hour(Poisson distributed).a. Determine the average number of planes that will stack up waiting to land.(Round your answer to 2 decimal places, the tolerance is +/-0.01.)b. Find the average time a plane must wait in line before it can land.min, (Round your answer to integer, the tolerance is +/- 1.)c. Calculate the average time it takes a plane to clear the runway once it has notified the airport that it is in the vicinity and wants toland. (Round your answer to 1 decimal place, the tolerance is +/- 1.)hrd. The FAA has a rule that an air traffic controller can, on the average, land planes a maximum of 45 minutes out of every hour. Theremust be 15 minutes of idle time available to relieve the tension. Will this airport have to hire an extra air traffic controller? (Round youranswer to 2 decimal places, the tolerance is +/-1.)

From the given information, Arrival rate, λ =5 per hour Service rate, μ =7.5 per hour a. Average…

Answered: The Peachtree Airport in Atlanta serves…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 18P

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