Compute the maximum number of customers

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Quick Burgers resto has 3 cashiers. Customers arrive according to a Poisson distribution every 3 minutes and form one line to be served by the first available cashier. The time to fill an order is exponentially distributed with a mean of 5 minutes. The waiting room inside the restaurant is limited. However, the food is good, and customers are willing to line up outside the restaurant, if necessary. Determine the size of the waiting room inside the restaurant such that the probability of an arriving customer does not wait outside the restaurant is at least 0.999.

The question is simply to compute the maximum number of customers who are waiting in the line and that the room can accommodate. Do not include in your answer the number of customers who are served at one of the cashiers.

Reference no: EM132708242

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