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 $]["$B$,$ C$,$ F$,$ H$,$ I", $"$A$,$ C$,$ D$,$ G$","$A$,$ D$,$ E$,$ F$,$ G$,$ I", $"$C$,$ E$,$ F$,$ H$,$ I", $"$B$,$ E$,$ F$,$ H$,$ I"$]$

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

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

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

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

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

g$.$ What if task A increased by $2$ days. What would be the project length and the critical path? $[$ Select $]["81$ days; critical path B$,$ E$,$ F$,$ G$,$ H$,$ I", $"82$ days; critical path C$,$ F$,$ G$,$ H$,$ I", $"$no change $-$ same as the current time frame and critical path", "a reduction to $77$ days; critical path C$,$ D$,$ E$,$ G$,$ H$,$ I", $"80$ days; critical path A$,$ D$,$ F$,$ G$,$ H$,$ I"$]$