The following table details the tasks required for a Pennsylvania $-$based sump pump company that manufactures industrial pumps The times in the table are in minutes. Demand forecasts indicate a need to operate with a cycle time of $10$ minutes.

Activity Immediate Predecessor Time

A $--5$

B $--1\mathrm{.}5$

C B $3$

D C $4$

E B $3$

F A$,$ E $2$

G $--3$

H D$,$ F$,$ G $3\mathrm{.}5$

I H $2$

J I $2$