The manager, Mr. Money, decided not to buy a machine. He still has 9 washers and
ID: 428822 • Letter: T
Question
The manager, Mr. Money, decided not to buy a machine. He still has 9 washers and 18 dryers. The manager estimates that on average Money Laundry receives eight orders every hour. The manager also finds that on average there are six orders in the washing stage and four orders in the drying stage. f. What is the utilization of washers, on average? (Round your answer to 2 decimal places.) Average utilization g. What is the utilization of dryers, on average? (Round your answer to 2 decimal places.) Average utilization h. On average, how long does it take an order to finish the washing process, from the time the order is received? (Round your answer to 2 decimal places.) Average time taken i. On average, how long does it take an order to finish the drying process, from the time the order finishes the washing process? (Round your answer to 2 decimal places.) Average time taken j. On average, how long does an order stay in Money Laundry? (Round your answer to 2 decimal places.) Average time taken hour hour hourExplanation / Answer
For the parts 'f' and 'g', we need to consider the capacity of production for washers and dryers. These are given in the first part of the problem which is not here in the question. Please find the capacities and then apply the following formulae to find the utilization.
(f)
Utilization of washers = 8 orders per hour/ capacity of washers (in units per hour)
(g)
Utilization of dryers = 8 orders per hour/ capacity of dryers (in units per hour)
(h)
WIP for washers = 6
Flow rate = 8 orders per hour
So, Flow time = WIP / Flow rate = 6/8 hours = 6 x 60 / 8 = 45 minutes (using Little's law)
So, the average time taken to finish = 0.75 hours or 45 minutes
(i)
WIP for dryers = 4
Flow rate = 8 orders per hour
So, Flow time = WIP / Flow rate = 4/8 hours = 4 x 60 / 8 = 30 minutes (using Little's law)
So, the average time taken to finish = 0.50 hours or 30 minutes.
(j)
Time taken for an order to stay in the laundry = 0.75+0.50 = 1.25 hours
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