Critical Path Method

The following table shows the activities for organizing an outdoor event. In the table, the duration of each activity is specified, as well as the activities on which it depends.

$\backslash$table$[[$Activity$,$Description,Duration,Depends on$],[$A$,$Find Date and Venue,$8,-],[$B$,$Take out necessary insurance,$1,$A$],[$C$,$Get admission by town council,$14,$B$],[$D$,$Collect offers for catering,$6,$A$],[$E$,$Design posters,$5,-],[$F$,$Print posters,$7,$C$,$ E$],[$G$,$Hang up posters,$14,$F$],[$H$,$Sign catering contract,$5,$C$,$ D$]]$

$($a$)$ Draw a network diagram depicting the activities, their durations and dependencies.

$($b$)$ Calculate the earliest possible starting time and the latest possible starting time for each activity. Identify the critical paths in this network diagram.

$($c$)$ Describe what it means for an activity to be on a critical path.

$(7$ pts$.)$