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Executives of a large discount drug store are concerned with customers balking from the single check-out lines in their stores because they are waiting too
Executives of a large discount drug store are concerned with customers balking from the single check-out lines in their stores because they are waiting too long. The executives have set the objective of increasing sales by improving customer check-out service. For that purpose, they have hired a data analytics consultant. The consultant has studied the operations of a particular store and has learned the following information. Customers get on the single check-out line in the stores at the mean rate of 28 per hour. Once on the line, customers are then served on a first-come, first-served, basis. On average, one cashier, working alone, can check out a customer in two minutes. Working together as a team, an additional cashier reduces the check-out time of a customer by 15 seconds, on average. The manager has also discovered that, on average, customers will balk if their wait on the line is five minutes or more. (Assume Poisson arrivals and exponential service times.) In new lines entered below this part, describe the state and/or situation of the waiting line if only a single cashier is working the check-out counter. Specifically, is this a viable system
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