You are managing a project that involves the following activities, with their respective durations and dependencies:

Activity A: Duration $3$ days, no dependencies.

Activity B: Duration $4$ days, depends on the completion of Activity A$.$

Activity C: Duration $2$ days, depends on the completion of Activity A$.$

Activity D: Duration $5$ days, depends on the completion of Activities B$.$

Activity E: Duration $3$ days, depends on the completion of Activity C$.$

Activity F: Duration $4$ days, depends on the completion of Activity C$.$

Activity G: Duration $5$ days, depends on the completion of Activity D$,$ E$,$ and F$.$

Activity H: Duration $6$ days, depends on the completion of Activity F$.$

The network diagram is given as follows.

$3\mathrm{.}1.$ Calculate the Slack Time $($S$)$ for each activity.