Given the project within the table below, calculate the following:

Activity

Duration $($hours$)$

Immediate Predecessors

A

$4$

None

B

$8$

None

C

$6$

A

D

$7$

B$,$ C

E

$3$

D

F

$1$

E

G

$5$

E$,$ F

H

$4$

G

a$.$ What is the project's minimum completion time?$[$ Select $]["25","28","27","30","29"]$

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

c$.$ What is the slack for activity B$?[$ Select $]["3","0-$ it is on the critical path", $"5","4","2"]$

d$.$ What is the Early Start and Early Finish for Activity D$?[$ Select $]["10,17","0,7","18,25","8,15","12,19"]$

e$.$ What is the Late Start and Late Finish for activity B$?[$ Select $]["6$ and $12","0$ and $8","3$ and $11","7$ and $13","2$ and $10"]$

f$.$ What would happen to the overall project length if activity B now took an additional $3$ hours to complete, now taking a total of $11$ hours?$[$ Select $]["$the project time would be reduced by $3$ hours because activity B is on the critical path. The project would now be $27$ hours", "the project length would remain the same, because B is a non$-$critical activity", "the project length would decrease because activity B has $3$ hours worth of slack", "The project would increase by $1$ hour, because B has a slack of $2$ hours $-$ the project is now going to take $31$ hours"$]$