Given the following task time estimates $($days$)$

TaskTimePredecessorA$19--$B$12--$C$9$D$12$AE$20$B$,$ CF$14$D$,$ EG$28$DH$15$FI$18$G$,$ H

a$.$ What is the critical path? $[$ Select $]["$C$,$ E$,$ F$,$ H$,$ I", $"$B$,$ C$,$ F$,$ H$,$ I", $"$A$,$ D$,$ E$,$ F$,$ G$,$ I", $"$B$,$ E$,$ F$,$ H$,$ I", $"$A$,$ C$,$ D$,$ G$"]$

b$.$ What is the project length? $[$ Select $]["75$ days", $"83$ days", $"79$ days", $"91\mathrm{.}5$ days", $"72\mathrm{.}5$ days"$]$

c$.$ How much slack in task B$.?[$ Select $]["4","3","0($zero$),$ it is on the critical path", $"2","1"]$

d$.$ How much slack is in task A$.?[$ Select $]["1$ day", "zero $-$ it is on the critical path", $"3$ days", $"15$ days", $"8$ days"$]$

e$.$ What is the early start $/$ early finish for task F$.?[$ Select $]["20$ and $34","32$ and $46","0$ and $14","61$ and $79","19$ and $31"]$

f$.$ What is the late start $/$ late finish for task G$.?[$ Select $]["33$ and $61","46$ and $61","31$ and $59","20$ and $32","12$ and $32"]$

g$.$ What if task A increased by $2$ days. What would be the project length and the critical path?