Prefferably hand written please.

An IT project has been defined to contain the following list of activities along with their completion time and dependencies:

Activity No

Activity

Completion Time $($weeks$)$

Dependency $1.$ Requirements gathering $4--2.$

Requirements prioritization

$313.$ Data analysis $414.$ Logical design $515.$ Physical design $63,46.$ Interface design $32,37.$ Report design $568.$ Coding $73,79.$ Testing and documenting $65,810.$ Installation and training $27,8,9$

a$.$ Draw a PERT chart for the project;

b$.$ Calculate the earliest completion time for the project;

c$.$ Show the critical path. $[15$ points$]$