a$)$Draw a project network.

b$)$List all paths and path length $($duration$)$of each path

c$)$Based on step b$,$what is the critical path and projection. In one sentence, explain how you know.

d$)$Make a forward pass through the network to compute and annotate the project network with

earliest start and finish time for each activity

e$)$Make a backward pass through the network to compute and annotate the project network with

latest start and finish time for each activity

e$)$Compute to compute and annotate the project network with the slack time for each activity.

f$)$Highlight the critical path on the network by using different arrow colors or arrow thickness.

g$)$Using new information from step e that was not available from step b$,$explain in one sentence

how you know what the critical path is$.$

h$)$Indicate which activities can be delayed without delaying the whole project and also how long

each of these activities can be delayed.

i$)$If you shortened the time of activity H$,$would it shorten the project duration? Explain why or why

not.

j$)$If you shortened the time of activity G$,$would it shorten the project duration? Explain why or why

not. Detail Instructions

Consider the following activities, activity times and precedence relations for a hypothetical Athletic Club Building project.

$\backslash$begin$\{$tabular$\}\{|$l$|$l$|$c$|$c$|\}$

$\backslash$hline Activity & Activity Description & Normal Time $($weeks$)$ & $\backslash$begin$\{$tabular$\}\{$l$\}$

Immediate $\backslash \backslash$

Predecessors

$\backslash$end$\{$tabular$\}\backslash \backslash$

$\backslash$hline A & Form project team & $9$ & $\backslash \backslash$

$\backslash$hline B & Prepare renovation plans & $12$ & A $\backslash \backslash$

$\backslash$hline C & Demolish interior space & $10$ & B $\backslash \backslash$

$\backslash$hline D & Upgrade utility systems & $20$ & A $\backslash \backslash$

$\backslash$hline E & $\backslash$begin$\{$tabular$\}\{$l$\}$

Select equipment, furniture $\backslash$& $\backslash \backslash$

fixtures

$\backslash$end$\{$tabular$\}$ & $10$ & B $\backslash \backslash$

$\backslash$hline F & Hire Staff & $10$ & A $\backslash \backslash$

$\backslash$hline G & Renovate building & $30$ & B$,$C $\backslash \backslash$

$\backslash$hline H & $\backslash$begin$\{$tabular$\}\{$l$\}$

Purchase equipment, furniture $\backslash$& $\backslash \backslash$

fixtures

$\backslash$end$\{$tabular$\}$ & $26$ & D$,$G$,$H $\backslash \backslash$

$\backslash$hline I & $\backslash$begin$\{$tabular$\}\{$l$\}$

Install equipment, furniture $\backslash$& $\backslash \backslash$

fixtures

$\backslash$end$\{$tabular$\}$ & $4$ & F$,$I $\backslash \backslash$

$\backslash$hline J & Train staff & $3$ & $\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$