To help with preparations, a couple has devised a project network to describe the activities that must be completed by their wedding date. In addition, they have estimated the time of each activity $($in weeks$).$

A project network with $10$ activities and $13$ directed arcs is shown.

Activity Start is connected to activity A and to activity B$.$

Activity A is connected to activity C and to activity D$.$

Activity B is connected to activity E$.$

Activity C is connected to activity H$.$

Activity D is connected to activity F and to activity G$.$

Activity E is connected to activity F and to activity G$.$

Activity F is connected to activity H$.$

Activity G is connected to activity Finish.

Activity H is connected to activity Finish.

Activity Finish has no arcs directed to other activities.

Activity A B C D E F G H

Time $538663119$

$($a$)$

Identify the critical path. $($Enter your answers as a comma$-$separated list.$)$

$($b$)$

How much time $($in weeks$)$ will be needed to complete this project?

week$($s$)$

$($c$)$

Can activity D be delayed without delaying the entire project? If so$,$ by how many weeks? $($If the activity can not be delayed, enter $0.)$

week$($s$)$

$($d$)$

Can activity C be delayed without delaying the entire project? If so$,$ by how many weeks? $($If the activity can not be delayed, enter $0.)$

week$($s$)$

$($e$)$

What is the schedule for activity E $($in weeks$)?$

Earliest Start

week$($s$)$

Latest Start

week$($s$)$

Earliest Finish

week$($s$)$

Latest Finish

week$($s$)$