Problem $4($process analysis$)$ Consider the following process: The setup time and production time per unit of each task is as follows: Task Setup time $($mins$)$ Time per unit $($mins$)110425023015406$ Adam $($with the same machine$)$ performs tasks $1$ and $2.$After running a setup on the machine, he performs task $1$ on every unit in a batch. Then, he runs another setup on the same machine before performing task $2$ on every unit in the batch.After that, either Brad or Chloe performs task $3$ on the units.Finally, Dorothee does task $4.$ Tasks $3$ and $4$ are done by the workers only so they do not require any setups. a$.$ Whenthe batch size is $20$ units, what is the capacity of the process $($in units$/$hour$)?$ b$.$ What is the smallest batch size $($in units$)$ to achieve a capacity rate of $8$ units$/$hour$?$