Question: I NEED AN ANSWER QUICKLY! I WILL LIKE/UPVOTE! 3. Consider two different machines A and B, either of which could be used at a station.

I NEED AN ANSWER QUICKLY! I WILL LIKE/UPVOTE!

3. Consider two different machines A and B, either of which could be used at a station. Machine A has an average effective process time of 1.0 hour and a squared coefficient of variation of 0.25. Machine B has an average effective process time of 0.85 hours and a squared coefficient of variation of 4.0. a) For an average arrival rate of 0.92 jobs per hour with a squared coefficient of variation equal to 1.0, which machine will have a shorter average cycle time? Before calculating, guess which machine will have the shorter time. After calculating, give a short reason why you think you were right, or explaining why you think you were wrong. Guess (circle one): A B Machine A: CT = Machine B: CT = Explanation: b) Suppose there are two A machines and the arrival rate is doubled (it seems like the results should be the same-we're doing twice as much but with twice the capability). What happens to cycle time? How did things change and why do you think this happened? Explanation: c) Now go back to just one machine, but instead of dropping back to an arrival rate of 0.92 jobs per hour, bump it up just a little to 0.95 jobs per hour (still with a squared coefficient of variation equal to 1.0). Re-compute the average cycle times for both machine A and machine B. Compare this to your answers in part a) and explain. Machine A: CT = Machine B: CT = Explanation: d) Now just focus on Machine A: i. Let the arrival rate be 0.50 jobs per hour. What is the average time spent at the station? Machine A: CT = What is the average time spent at the station if the arrival rate is increased by 1% (i.e. to 0.505)? What percentage increase in CT does this represent? Machine A: CT = % Increase = ii. Now let the arrival rate be 0.95 jobs per hour. What is the average time spent at the station? Machine A: CT = What is the average time spent at the station if the arrival rate is increased by 1% (i.e. to 0.9595)? What percentage increase in CT does this represent? Machine A: CT = % Increase = e) What can you say about the relationship between utilization and waiting time

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