A Harvesting Firm Has Six Combines, Each Requiring Service at an Average

question 28

Essay

A harvesting firm has six combines, each requiring service at an average rate of once every 40 hours, according to an exponential distribution. The firm has a mechanic who needs four hours to complete the average repair with exponential service times.
a. What is the average utilization of the mechanic?
b. What is the average number of combines in the system?
c. What is the average number of combines in line?
d. What is the average time spent being repaired and waiting?
e. What is the average time spent in line waiting for repair?

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Definitions:

Cause

The reason something happens, often used in legal contexts to determine the cause of an event or action leading to liability.

Employees

Employees are individuals who are hired by an employer to perform specific duties in exchange for compensation, typically in the form of wages or salary.

Great Depression

A severe, worldwide economic downturn that took place during the 1930s, marked by high unemployment, deflation, and a significant drop in consumer spending and investment.

Unions

Organizations formed by workers to advocate for their rights, benefits, and interests within the workplace.