A Dry Cleaner Has a Single Drive-Thru Window for Customers

question 44

Essay

A dry cleaner has a single drive-thru window for customers. The arrival rate of cars follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is 16 per hour and the average service time is three minutes. If the dry cleaner wants to accommodate (have enough room for) All of the waiting cars at least 96 percent of the time, how many car-lengths should they make the driveway leading to the window?

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Definitions:

Core Temperature

The central temperature of the body, maintained within a narrow range necessary for optimal physiological functioning.

Physical Activity

Any bodily movement produced by skeletal muscles that requires energy expenditure, beneficial for health and fitness.

Health Care-Acquired Infection

Infections that patients acquire while receiving treatment for other conditions within a healthcare setting.

Acetaminophen

A medication used to reduce pain and fever, known also as Tylenol.