What is the average length of the pick-up line

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Reference no: EM132106937

Situation 6 A food-truck has one cashier and one cook. Customers first wait in line to ‘place the order and pay the cashier’, and then enter a ‘pick-up’ line to get the food that is being prepared by the cook. Currently, the cashier can take an order and handle the money transaction in an average of 1 minutes. The cook can prepare an order in exactly 2 minutes. During an hour, 15 customers arrive on average. The interarrival times are exponentially distributed.

a) What is the average length of the “place order and pay the cashier” line? What is the average length of the “pick-up” line?

b) What is the average number of customers in the food-truck?

c) The food-truck owner feels that the cook is slowing down the process and sends him to a training class. After the class, the cook can cook an order in exactly 1.6 minutes. What is the capacity of the system now?

d) After the training, what is the average length of the “place order and pay the cashier” line?

e) Based only in this information, would it make sense to hire another cook? Explain.

Reference no: EM132106937

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