Additional Problem $17-1($Algo$)$

A city hall plans on holding a townhall event at the end of the Fall. The activities that have to be completed, duration of each activity, and their sequence are listed in the table below:

Activity Duration $($weeks$)$ Immediate Predecessor

A $2--$

B $3$ A

C $3$ A

D $1$ B

E $4$ D$,$C

F $1$ E

a$.$ Determine the project duration.

b$.$ What is the earliest start, earliest finish time, latest start, latest finish time for activity E$?$

c$.$ What is the slack for activity C$?$