Problem Specification

Consider the following incomplete network diagram and answer the questions that follow:

Notes:

A working day is Monday, Tuesday, Wednesday, Thursday and Friday $(8$am $-8$ pm$).$

Staff works Mondays through Friday.

Project start date is $1^{st}$ April, $2024.$

No two holidays can be on the same day.

The last Friday of every month is a social day for the company. No work is done on this day.

If a holiday falls on a Saturday, then Friday will be given as an extra day off, and if it falls on a Sunday then Monday will be given as a day off.

The following holidays are observed in a year.

January $1-$ New Year Day

Second Monday in January, March, May, June, August, October, December is Eat$-$All$-$You$-$

Can day

April $10-$ Drivers Day

May $12-$ National Picnic Day

June $18-$ Parliament D$\backslash$bar $($a$)$ y

August $15-$ National Road Safety Day

December ${20}^{th}-$ Blame Someone Else Day

a$)$How long will this project take? What is the completion date?

b$)$ List all the distinct paths in the project along with their durations.

c$)$ Identify all Activities in the above project that have a slack and the amount of slack.