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. Calculate:a. Average processing time per unitb. MTT per unit

The average processing time per unit = 1.46 minutes per unit

MTT per unit 0.25 minutes per unit

Explanation:

Given that:

number of hours per day for a machine = 8 hours per day

The average throughput rate =  28  batches per day

the setup time =  5 minutes per batch

Plant operating hours = 16 hours per day

To calculate:

a.  Average processing time per units is determined by evaluating the average processing time per batch.

Using the following formula:

Average processing time per units =   Total available time ÷ batches per day

where;

Total available time = Operating time per day - batches setup time

Total available time =  (16 × 60 )minutes - (28 batches × 5 minutes)

= 960 - 140 = 820 minutes per day

∴

Average processing time per batch = 820 minutes ÷  28 batches = 29.29

NOW,  Average processing time per units = Average processing time per batch  ÷  batch size

= 29.29 ÷  20 = 1.46 minutes per unit

b) MTT per unit

The MTT per unit can be computed by using the formula

MTT per unit = Setup time ÷  batch size

MTT per unit = 5 minutes  ÷   20 minutes

MTT per unit = 0.25 minutes per unit