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Pickmeup Is a Drive Through Coffee House That Has Room

question 104

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Pickmeup is a drive through coffee house that has room for 3 cars in the driveway. The line cannot exceed 3 cars, and because they are exclusively drive through, customers may be turned away. In the morning, the arrival rate is 40 cars per hour (Poisson distributed) and with the servers working in teams, they can process 50 cars per hour (the service rate is exponential) . What is the probability of turning customers away?


Definitions:

Task Variety

Refers to the degree of different activities and skills required in a job, influencing employee motivation and satisfaction.

Job Simplification

The method of decomposing a task into its most basic elements to enhance productivity and minimize intricacy.

Total Mechanization

The complete automation or use of machinery to perform all tasks in a process or system, eliminating the need for manual labor.

Automation

The total mechanization of a job.

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