A telephone-order sales company must determine how many telephone operators are needed to staff the phones during the 9-to-5 shift. It is estimated that an average of 480 calls are received during this time period and that the average call lasts for six minutes. There is no queueing. If a customer calls and all operators are busy, this customer receives a busy signal and must hang up. If the company wants to have at most one chance in 100 of a caller receiving a busy signal, how many operators should be hired for the 9-to-5 shift? Base your answer on an appropriate simulation. Does it matter whether the service times are exponentially distributed or gamma distributed? Experiment to find out.

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A: Below is the solution:-

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A:

Q: c. The probability that more than five cars arrive in any given hour

A:

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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.