Question

Money Laundry has 10 washers and 15 dryers. All orders are first sent to wash and then to dry. It takes on average 30 minutes to wash one order and 40 minutes to dry.

a.
What is the capacity of the washing stage?



Capacity of washing stage orders per hour


b.
What is the capacity of the drying stage? (Round your answer to 2 decimal places.)



Capacity of drying stage orders per hour


c. Identify the bottleneck(s).
Washer
Dryer


d.
What is the capacity of Money laundry?



Capacity of Money laundry orders per hour


e.
If Money Laundry would like to increase the capacity by buying one more machine, should they buy a washer or a dryer?

Washer
Dryer


The manager, Mr. Money, decided not to buy a machine. He still has 10 washers and 15 dryers. The manager estimates that on average Money Laundry receives eight orders every hour. The manager also finds that on average there are five orders in the washing stage and seven orders in the drying stage.



f.
What is the utilization of washers, on average?



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 3 decimal places.)



Average time taken hour


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 3 decimal places.)



Average time taken hour


j.
On average, how long does an order stay in Money Laundry? (Round your answer to 1 decimal places.)



Average time taken hour

Answer 1

Explanation:

a) Capacity of the washing stage = 10*60/30 = 20 orders/hour

b) Capacity of the drying stage = 15*60/40 = 22.50

c) Washer is bottleneck because capacity of washing stage is lower

d) Capacity of Money laundry = (10+15)*60/(30+40) = 25*60/70 = 21.43 orders/hour

e) Bacause washer is bottleneck, they should buy washer

f) Utilization of washers on average = 8/20=40%

g) Utilization of dryers on average = 8/22.5 = 35.56%

h) On average there are 5 orders in washing stage

5/8 =0.625

j) On average there are 7 orders in drying stage

7/8 = 0.875

j)Order stay in Money laundry for 0.625 + 0.875 = 1.5 hour