# Queuing Theory

MacBurger's is attempting to determine how many servers to have available during the breakfast shift. On average, 100 customers arrive per hour at the restaurant. Each server can handle an average of 50 customers per hour. A server costs $5 per hour, and the cost of a customer waiting in line for one hour is $20. Assuming that an M/M/s model is applicable, determine the number of servers that minimizes the sum of hourly delay and service costs.

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#### Solution Preview

Please see the attached file.

Here I am replacing s by c, for convenience, to represent the number of servers. Because I am using s for representing system.

Queueing Models

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MacBurger's is attempting to determine how many servers to have available during the breakfast shift. On average, 100 customers arrive per hour at ...

#### Solution Summary

The solution describes an application of M/M/s model. The queuing theory model is examined.