Question: Question 6. A small grocery store has a single check-out line. On Saturdays, a customer arrives at the checkout on average every five minutes. The

Question 6. A small grocery store has a single

Question 6. A small grocery store has a single check-out line. On Saturdays, a customer arrives at the checkout on average every five minutes. The cashier takes on average four minutes to process a single customer, exponentially distributed. Assume that the conditions of the Model A queueing system are satisfied. a. Find the average time that a customer spends in the system and the average number of customers in the system. b. The store's owner believes that the waiting times are too long, hurting business. The owner estimates that waiting time costs him $20 per hour in lost business. In order to speed up service, the owner considers hiring an assistant to help with the bagging of groceries. With the addition of the bagger, the cashier will be able to cess a customer in 3.4 minutes on average. Now what is the average time that a customer spends in the system and the average number of customers in the system? Should the bagger be hired

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