draw For items 22-26, use the following information. A company has tool cribs wh
ID: 3315242 • Letter: D
Question
draw For items 22-26, use the following information. A company has tool cribs where workmen parts. Two men have applied for the position of distributing parts to the workmen, George Fuller is fresh out of trade school and expects a $6 per hour salary. His average service time is 4 minutes (exponential distribution). John Cox is a veteran who expects S12 per hour. His average service time is 2 minutes (exponential distribution). A workman's time is figured at $10 per hour Workmen arrive (Poisson distribution) to draw parts at an average rate of 10 per h WM 22. What is the average waiting time (minutes) a workman would spend in the syitem under SV ouldspendinthsystem under 4 ) ).-N441.7 iw 'ew3 Aug 1%,r D. 25 ,2.5 ,2 23. What is the average waiting time (minutes) a workman would spend in the system under John? A. 1.00 B. 2.33 C. 3.00 4.50 5.12 24. What is the total cost (S/hr) for a system under George? 26 C. 34 D. 42 E. 46 25. What is the total cost (S/hr) for a system under John? 18 19 29 E. 46 3:1 26. Which applicant should be hired? George ohnExplanation / Answer
Q.22
For george :
Mean number of Arrivals = 10 per hour
Mean number of units served = 1/(4/60) = 15 per hour
Here average waiting time for a workman shoudl spend in the system = 1/ ( - ) = 1/(15 -10) = 1/5 Hour = 12 minutes
Q.23
For John :
Mean number of Arrivals = 10 per hour
Mean number of units served = 1/(2/60) = 30 per hour
Here average waiting time for a workman shoudl spend in the system = 1/ ( - ) = 1/(30 -10) = 1/20 Hour = 3 minutes
Q.24 Total cost For a system under george = Total number of arrivals in one hours * waiting charge + Salary
= 10 * (10 * 12/60) + 6
= 20 + 6 = $ 26
Q.25
Total cost For a system under John = Total number of arrivals in one hours * waiting charge + Salary
= 10 * (10 * 3/60) + 12
= 20 + 6 = $ 17
Q.26 JohnShould be hired as his expected total cost is lower.
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