## (solution) Zureb is a new taxi-hailing app that has recently started

Zureb is a new taxi-hailing app that has recently started operating in Los Angeles. Everyhour 1,000 taxis are on Zureb.Once a passenger requests a ride, the app assigns the closest available taxi to her. However, sometimes notaxi is available. Then the passengers will be assigned the next available taxi on first-come-first-servebasis (independent of location).Suppose every minute 100 passengers request a ride. Each taxi, after they are matched to a passenger,picks up the passenger on average in 2.5 minutes. Each ride, after pick up, takes 7 minutes on average.Assume all the distributions are exponential.Answer the following questions. Round to two decimal points in your calculations. For example, if youcalculate utilization rate equal to 0.44357 use 0.44, and instead of 0.12678 use 0.13.

b) (4 points) Suppose the answer to the previous part is 60 seconds (this is not the answer but let?sassume it is for now). How much on average does it take for passengers from the time theyrequest a ride on the app till they are dropped off?

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Sep 13, 2020

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