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Q. A gas station with only 1 gas pump employs subsequent policy: If a customer has to wait, price is $3 per gallon; if she does not have to wait, price is $3.20 per gallon. Customers arrive according to a Poisson process with a mean rate of 14 per hour. Service times at pump have an exp1ntial distribution with a mean of 2.5 minutes. Assume that arriving customers always wait until y can eventually buy gasoline. Based on se figures, Find out subsequent:

a. average time a car is in gas station.

b. average number of cars waiting in line.

c. average time a car waits.

d. expected price of gasoline per gallon.

e. Suppose gas station manager needs expected per-gallon gasoline price at least $3.15. Illustrate what should be mean service time at pump?

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Operation Management, Management Studies

Category:- Operation Management
Reference No.:- M9309933

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