Question

A batch of parts is produced on a semi-automated production machine in a sequential batch production operation. Batch quantity is 300 units. Setup takes 55 min. A worker loads and unloads the machine each cycle, which takes 0.75 min. Machine processing time is 3.46 min/cycle, and tool handling time is negligible. One part is produced each cycle. Determine:
a. Average cycle time
b. Time to complete the batch
c. Average production rate.

Answer 1

Answer:

a) 4.21 min

b) 21.9666 hrs

c) 1.3657 Pc/hr

Explanation:

Given that;

Batch quantity = 300 units

time setup = 55min

unload/loading time = 0.75

processing time = 3.46

a) Average cycle time;

Average Cycle Time TC = loading time + processing time

TC = 0.75 + 3.46

Tc = 4.21 min

b) Time to complete the batch

Time to complete the batch Tb = setup time + process time + non operation time

Tb = (55min * 1hr/60min) + (300 * 3.46 * 1hr/60min) + (300 * 0.75 * 1hr/60min)

Tb = 0.9166 + 17.3 + 3.75

Tb = 21.9666 hrs

c) Average production rate

Average production rate Rp = 1 / ( Tb / batch size)

we substitute

Rp = 1 / ( 21.9666 / 300 )

Rp = 1 / 0.7322

Rp = 1.3657 Pc/hr