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 utilization of the refurbishing machine?
A) Less than or equal to 40 percent
B) Greater than 40 percent but less than or equal to 50 percent
C) Greater than 50 percent but less than or equal to 60 percent
D) Greater than 60 percent

Question

Quizplus · Accepted Answer

The average utilization of the refurbishing machine can be calculated by dividing the average arrival rate of tools (4/30 per hour) by the average service rate of the machine (1/15 per tool per hour). This yields an average utilization of 8/30 or approximately 0.27 (27%). Since this value is greater than 60%, the answer is D.

The Jackson Machine Company Has Four Cutting Tools That Need