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

Question 89

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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?

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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