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Due to population growth in the area, the new Liberty High School has just opened in a local school district. The athletic director at Liberty High is planning the launch of the school's track and field team. The first team practice is scheduled for April $1.$ The activities, their immediate predecessors, and the activity time estimates $($in weeks$)$ are listed in the following table.

Time $($Weeks$)$

Activity Description Immediate

Predecessor Optimistic Most Probable Pessimistic

A Meet with board $112$

B Hire coaches A $468$

C Conduct fundraiser A $246$

D Announce program B$,$ C $123$

E Meet with coaches B $234$

F Order team equipment A $123$

G Register athletes D $123$

H Reserve buses for meets G $123$

I Plan first practice E$,$ H$,$ F $111$