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Cars arrive at a small gas station to refuel according to a Poisson process with rate 30 per hour, and have an exponential service time
Cars arrive at a small gas station to refuel according to a Poisson process with rate 30 per hour, and have an exponential service time distribution with mean 4 minutes. Since there are four gas pumps available, four cars can refuel simultaneously, but unfortunately there is no room for cars to wait. Hence, if a car arrives when all pumps are busy, the driver leaves immediately. For each customer that is served, an average profit of $30 is made. What is the long-run expected profit per day (consisting of eight hours)?
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