Question

Problem 6-11 (Algo) Money Laundry has 11 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 30 minutes to dry. a. What is the capacity of the washing stage? (Round your answer to 2 decimal places.) b. What is the capacity of the drying stage? (Round your answer to 2 decimal places.) c. Identify the bottleneck(s). multiple choice 1 Washer Correct Dryer d. What is the capacity of Money laundry? (Round your answer to 2 decimal places.) e. If Money Laundry would like to increase the capacity by buying one more machine, should they buy a washer or a dryer? multiple choice 2 Washer Correct Dryer The manager, Mr. Money, decided not to buy a machine. He still has 11 washers and 15 dryers. The manager estimates that on average Money Laundry receives two 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? (Round your answer to 2 decimal places.) g. What is the utilization of dryers, on average? (Round your answer to 2 decimal places.) 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.) 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.) j. On average, how long does an order stay in Money Laundry? (Round your answer to 2 decimal places.)

Answer 1

The answers about capacity utilization are given as follows:

A - 20 Units/Hour

B - 22.5 Units per hour

C - The Lowest  capacity station that comprises the entire process

D - The capacity of the Money Laundry is 20 order/Hour

E - T increase the capacity of the washing stage, one machine must be purchased

F - Capacity Utilization is 40%

G - Utilization of dryers on average is 35.60%
H - The flow time is given as 37.50 minutes

I - Flow time for the washing process is 52.5 minutes

J - On average, it takes 90 minutes for an order stay in Money Laundry.

What is the capacity utilization?

Capacity Utilization or Efficiency refers to an organization's use of manufacturing and production capacity at any one time.

What is the explanation for the above answers?

A - Efficiency of the Washing Machine stage:

The formula for this is given as:

(No. of Washers * Time Available)/Processing Time

= (10 * 60)/30

= 20 Units /Hour

B - Capacity or Efficiency of Drying

= (15 * 60)/40

= 22.5 Units

C - What are the bottlenecks?

The bottlenecks is indicated in the unit with the lowest capacity. This is the Washing Stage. This is because it has the lowest capacity per hour.

D - What is the capacity of Money laundry?

The capacity of an organization is judged by the capacity of it's bottleneck. thus the capacity of Money Laundry is 20 orders/ Hour.

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

From the foregoing, it should increase capacity by buying additional washing machine. This will increase the capacity of the bottleneck. This is justified by the law of constraints which indicate that capacity can be increased when bottleneck is resolved.

F - What is the utilization of washers, on average?

The formula for this is given as:
Utilization (Washer) = Output/Capacity

= 8/20

= 0.40 or 40%

G - What is the utilization of dryers, on average?

Using the same formula in F,

= 8/22.5

= 35.56 or 35.6%

H - On average, how long does it take an order to finish the washing process, from the time the order is received?

The flow time is given as: Inventory/Throughput Rate

= 5/8

= 0.625/Hour

multiply that by 60

0.625 * 60

= 37.5 minutes

I - On average, how long does an order stay in Money Laundry?

Using the same formula in H above:

=7/8

= 0.875

Multiply that by 60 minutes

= 0.875 *60

= 52.5 mins.

Thus, every 52.5 mins, a washing cycle is completed.

J - On average, how long does an order stay in Money Laundry?

This is computed by adding the G + I

= 37.5 + 52.5

= 90 mins.

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