PA $7-2($Algo$)$ A machine makes two components; call...

A machine makes two components; call them types A and B$.$ It takes $610$ seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires $0\mathrm{.}5$ second to be completed. The two components, A and B$,$ are combined in an assembly process to make a final product; call it C$.$ The assembly step can combine the two components into $1$ unit every $2$ seconds, or $30$ units per minute.