Given the following table, construct an AOA network and answer the following three questions. Note: You need to completely comply with the six rules of AOA while setting up AOA.

Activity Immediate Predecessor$($s$)$ Time Duration $($days$)$

A None $5$

B None $6$

C None $3$

D A $5$

E A$,$B $4$

F C $7$

G D$,$E $6$

H D$,$E $9$

I H$,$C $6$