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A Suburban Specialty Restaurant Has Developed a Single Drive-Thru Window

question 35

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A suburban specialty restaurant has developed a single drive-thru window.Customers order,pay,and pick up their food at the same window.Arrivals follow a Poisson distribution while service times follow an exponential distribution.If the average number of arrivals is 6 per hour and the service rate is 2 every 15 minutes,how much time will elapse (in hours) from the time a customer enters the line until he/she leaves the restaurant?


Definitions:

Smooth Muscle

A type of muscle found in the walls of internal organs and blood vessels that is controlled involuntarily, enabling functions such as regulating blood flow and moving food through the digestive system.

Dense Bodies

Cytoplasmic structures associated with smooth muscle fibers that anchor actin filaments, aiding in muscle contraction.

Homeostasis

The process by which a living organism or cell maintains a stable internal environment despite changes in the external environment.

Shiver

An involuntary response to cold or fear, producing rapid, rhythmic muscle contractions to generate heat.

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