Define the critical path listing all critical activites

Question

Problem:

The following is a table of activites associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, and what activites each must precede:

Activity  Duration (Weeks)  Precedes

A (start)        1                     B,C

B                  1                      E

C                  4                      F

E                  2                      F

F (end)          2                      -

Required:

Question 1) Draw an AON Diagram of the project, including activity durations.

Question 2) Define the critical path, listing all critical activites in chronological order.

Question 3) What is the project durations (in weeks)?

Question 4) What is the slack (in weeks) associated with any and all noncriical pats through the project?

Provide correct solution of the given problem with step by step calculations.