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 but the machine is staffed for 8 hours. i. Average processing time per unitii. MTT per unit

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

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).

Requirement 2:

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

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