What is the batch size that makes the process balanced


Problem: A processor makes two components, A and B, which are then packaged together as the final product (each product sold contains one A and one B). The processor can do only one component at a time: either it can make A or it can make B. There is a setup time when switching between A and B. Current plans are to make 50 units of A then 50 units of B. The setup time for A is 2 minutes and that for B is 3 minutes. The unit run time for A is 0.2 minute and that for B is 0.1 minute. The packaging of the two components takes 0.3 minute per unit of the final product. There is one operator for the processor and one for packaging.

(a) What is the capacity of this process?

(b) What is the total idle time, direct labor content and direct labor utilization for a batch of 50 units? (Consider setup time as a part of direct labor content)

(c) What is the batch size that makes the process balanced?

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