You have decided to engage in a personal project to build a storeroom at your home. You contacted the municipality for a building permit, and approval has been granted to proceed with the project. The storeroom building project has the following tasks highlighted in Table $2\mathrm{.}1$: Table $2\mathrm{.}1$

Activity Construction activities Predecessor Duration in days

A Buy materials $2$

B Dig footings A $4$

C Poor footings concrete B $1$

D Flooring B $3$

E Building the wall and plastering C$,$D $7$

F Roofing, window, and floor installations E $3$

G Installation of electrical wire for lighting E $1$

H Painting F$,$G $2$ Required:

$2\mathrm{.}1$ Develop an Activity on Node $($AON$)$ network diagram using the information in Table $2\mathrm{.}1$ for the storeroom building project. Populate the network diagram by conducting a forward pass and backward pass. $(3$x$8=24$ marks$)$

$2\mathrm{.}2$ Based on the network diagram developed in $2\mathrm{.}1$: $2\mathrm{.}2\mathrm{.}1$ Indicate all the storeroom building project activity paths $($routes$)$ and calculate their durations. $(4$x$2=8$ marks$)$

$2\mathrm{.}2\mathrm{.}2$ Identify the critical path of the building project and state two characteristics of a critical path? $[1+(2$x$1)=3$ marks$]$

$2\mathrm{.}2\mathrm{.}3$ Identify two activities with a float and advise on the implication of a float on the identified activities on each activity. $[(2$x$1)+1=3$ marks$]$

$2\mathrm{.}3$ Draw tasks on a Gantt chart timeline based on your network diagram durations calculated in $2\mathrm{.}2$ above. $(8$x$1=8$ marks$)$