PM$\mathrm{.}57$ The activities needed to develop a new software application are listed in the following table with the activity times and their order in which the activities need to be performed:

Activity Duration $($weeks$)$ Immediate Predecessor$($s$)$

A $3-$

B $9$ A

C $5$ A

D $7$ A

E $5$ A

F $9$ B$,$C

G $10$ D$,$E

H $3$ F$,$G

What is the overall duration of the project $($in weeks$)?$

Number

weeks

What is the earliest week you could start activity F$?($Write the week number in the field below.$)$

Number

What is the earliest week you could finish activity G$?$

Number

What is the latest week you could start activity C$?$

Number

What is the latest week you could finish activity B$?$

Number

What is the slack time for activity G$?$

Number

weeks

What would be the overall duration of the project if activity C were increased by $2$ weeks, from $5$ to $7$ weeks?

Number

weeks

What would be the overall duration of the project if activity G were increased by $5$ weeks, from $10$ to $15$ weeks?

Number

weeks