The Jackson Machine Company has four cutting tools that need to be refurbished after an average of 30 hours, according to an exponential distribution. The single machine that refurbishes the tools needs 15 hours for each tool on the average, with exponential service times.
-Use the information in Scenario C.6.What is the average waiting time of tools in line?
A) Fewer than or equal to 15 hours
B) Greater than 15 hours but fewer than or equal to 25 hours
C) Greater than 25 hours but fewer than or equal to 35 hours
D) Greater than 35 hours

Question

Quizplus · Accepted Answer

The average arrival rate (λ) is 1/30 tools per hour, and the service rate (μ) is 1/15 tools per hour. Using the formula for average waiting time in line for an M/M/1 queue, Wq = λ / (μ(μ - λ)), we find that the average waiting time is greater than 15 but fewer than or equal to 25 hours.

The Jackson Machine Company Has Four Cutting Tools That Need