Nemos specialty fish take-out has a tiny parking area. The facility can only accommodate one car in service and one car waiting. When there is one car waiting, all other arriving customers have to go elsewhere. Customers arrive at a rate 10 per hour according to Poisson distribution. Service time is exponentially distributed with an average of 4 minutes. The take out is only open 5 ours a day for 200 days a year. a. What proportion of customers go directly to the take-out window, because there is one in line or being served. b. What proportion of customers go elsewhere because the waiting spot is taken? How many customers are they losing per year because of capacity limits? c. What is the average number of cars in the queue, Lq? d. What is the average waiting time in queue, Wq?
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