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Mom and Pop own and operate the Fuzzy Belly Deli. On average, customers arrive at the deli every 6 minutes. Pop fulfills their orders one at a time. It takes him an average of 3 minutes to fulfill each order. Customers then proceed to the cash register, where Mom receives their payment. Mom loves to chat and is somewhat slow in operating the cash register, taking an average of 4 minutes to receive payment from each customer. Assume that customer inter-arrival times, as well as order fulfillment and payment times are exponentially distributed.
1) What is the throughput of the deli's operation?
2) What is the capacity of the deli's operation?
3) On average, how long does a customer spend at the deli from the time she arrives until her order is fulfilled by Pop?
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