Answer: A batch size of 30units
Step-by-step explanation:
The set up time is given as 20 Minutes per production cycle, Production cycle for the machine has 3 cycles
Therefore the set uo time for the cycles = 20 mins x 3= 60 minutes
Processing time = 0.5 minutes
Capacity = 24units per hour , changing to minutes we have
24 units / 60 minutes = 6/ 15 = 2/5 = 0.4 minutes
Capacity = Batch size / Set up time + batch size x processing time per unit
0.4 = B/ 60 + B X 0.5
0.4 = B/60 + 0.5B
0.4( 60 + 0.5B) = B
24 + 0.2B=B
24=B-0.2B
0.8B=24
B =24/0.8
Batch size = 30 can be achieve at a capacity of 24 units per hour.