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A Small Diner Has One Employee and a Counter with Seating

question 40

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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 probability that there are no customers in the diner?


Definitions:

Bureaucratic Control

The use of rules, procedures, and formal structures to manage an organization and control its activities.

Profitability

The extent to which a company or action generates income or economic benefit.

Market Share

The portion of a market controlled by a particular company, measured by the proportion of sales that company enjoys compared to total industry sales.

Horizontal Coordination

An organizational strategy that involves the collaboration and communication across different departments or units to achieve common goals.

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