You are analyzing a production line. There are five processes, labeled A through E$,$ and your widgets start at Process A$,$ then go to Process B$,$ C$,$ D$,$ and E$.$ The process map looks a bit like this:

Start $->$ A $->$ B $->$ C $->$ D $->$ E $->$ Finish.

You have the following process information:

Process A requires $10$ minutes per widget.

Process B does $4$ widgets per hour.

Process C does $4\mathrm{.}6$ widgets per hour.

Process D can do $28$ widgets per $8-$hour shift.

Process E takes $16$ minutes per widget.