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A Small Diner Has One Employee and a Counter with Seating

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A small diner has one employee and a counter with seating for 8 customers.The diner does not package food for takeout.Customers arrive at the diner at the rate of 20 per hour (Poisson distributed) .Service times are exponentially distributed and average 24 per hour.Customers that arrive when all seats are taken do not enter the diner.What is the average time a customer spends in the diner?


Definitions:

Net Present Value

A method used in capital budgeting to analyze the profitability of an investment by calculating the difference between the present value of cash inflows and the present value of cash outflows over a period of time.

Present Value

The present value of a future amount of money or a series of cash flows, discounted by a certain rate of return.

Net Present Value Rule

A principle that states an investment should be made if the net present value of its cash flows, discounted at the hurdle rate, is positive.

Invest

The act of allocating resources, usually money, with the expectation of generating an income or profit.

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