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 $0\mathrm{.}2$ minute and that for B is $0\mathrm{.}1$ minute. The

packaging of the two components takes $0\mathrm{.}3$ 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?