F. The operations manager for a large law office must choose between two differe
ID: 378343 • Letter: F
Question
F. The operations manager for a large law office must choose between two different copiers to lease. A regular copier, which costs $8 per hour to lease, can complete a copying job in 6 minutes, on average. On average, a high- speed copier, which leases for $16 per hour, can complete a copying job in 3 minutes. In a work day of 8 hours 56 copying jobs can be expected. The time of the employees tasked with copying is valued at $10 per hour. NOTE: You must show your calculations on separate sheets of paper stapled to this exam to receive credit for this problem. 35.For a regular copier, how many employees can be expected to be at the copier, both waiting on line and using the machine? 36. On an hourly basis, what is the total cost of the regular copier? 7.For a high-speed copier, how many employees can be expected to be at the copier, both waiting on line and using the machine? 38. On an hourly basis, what is the total cost of the high-speed copier? 39.On the basis of total hourly cost, which copier should the operations manager chose? Explain why 40. a. What had to be assumed about how long the copying jobs take? b. What had to be assumed about how many employees need to use the copier at any given time?Explanation / Answer
Ans 35) For the regular copier, Mean arrival rate = lambda = 56/8 =7
Now, mean service rate = mu = 60/6 = 10 copies per hour
Average no of employees expected in the system = 7/(10-7) = 2.33
Average no of employees waiting = lambda^2/mu(mu-lambda) = 7^2/10(10-7) = 1.63
Ans 36) No. of employee involved with the copier at a time =2.33+1.63= approx 4
Therefore, total cost for the copier per hour = 4*10 + 8 = $48 per hour.
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