Complete Question:
You have a machine that is staffed 8 hours per day. The average throughput rate is 28 batches per day, and the setup time is 5 minutes per batch. The plant operates 16 hours per day. For a batch size of 20 units, calculate....
i. Average processing time per unit
ii. MTT per unit
Answer:
i. 0.25 Minutes per unit
ii. 1.46 Minutes per unit
Explanation:
As we know that:
Average Processing Time per Unit = Total Available time / Units Processed per Day
Now, as we know that
Units Processed per Day = Batches Processed per Day * Units per Batch
And
Total Available Time = Operating time per day - Batches setup time per Day
By putting these two values in the above equation, we have:
Average Processing Time per Unit = (Operating time per day - Batches setup time per day) / (Batches Processed per Day * Units per Batch)
Here
Operating time per Day 16 Hours per day
Batches setup time per day = 28 Batches * 5 minutes per batch / 60 minutes = 2.33 batches per hour
Batches Processed per Day are 28 batches per day
Units per Batch are 20 units per batch
By putting values, we have:
Average Processing Time per Unit = (16 Hours per Day - 2.33 Hrs) / (28 Batches * 20 Units)
= (13.67 Hours) / (560 Units)
= 0.024405 Hours, which means that average time per unit is 1.46 Minutes per Unit (0.024405 Hours * 60 minutes).
<u>Requirement 2:</u>
We can compute Manufacturing Throughput Time by using the following formula:
Manufacturing Throughput Time = Machine Setup time / Batch size
Here
Machine Setup time is 5 Minutes
Batch Size is 20 Minutes
By putting the values, we have:
Manufacturing Throughput Time = 5 minutes / 20 minutes
= 0.25 minutes per unit
