Brian Smith, a network administrator at Advanced Energy Technology $($AET$),$ was

responsible for migrating a large data centre to a new office location. Careful planning was

needed because AET operates in the highly competitive petroleum industry. AET is one of

five national software companies that provide an accounting and business management

package for oil jobbers and gasoline distributors. A few years ago, AET jumped into the

"application service provider" world. Their large data centre provides clients remote access to

AET's complete suite of application software systems. Traditionally, one of AET's primary

competitive advantages has been the company's trademark IT reliability. Due to this project's

complexity, the Executive Committee insisted that a preliminary analysis of the anticipated

completion date be conducted.

Brian compiled the following information in Table $1$ in preparation for some CPM

analysis. Assume a five$-$day workweek; the project will start on September $1,2023.$

Given the information in Table $1,$ do the followings:

$($a$)$ Draw the project network AND compute the slack time for each activity in the project

network.

$[15$ marks$]$

$($b$)$ Identify the critical path AND total duration of the project. Determine whether the

project can be completed in less than $10$ weeks.

$[4$ marks$]$

$($c$)$ The committee has decided that more analysis of the duration of each activity is

needed. Before conducting that effort, they asked Brian to look into any possibility to

ensure the project completion could be saved by $10\%$ of the total expected project

duration. List all possible activities and explain what can be done to achieve this targe