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