Q$1.$ Perform resource allocation and levelling as well as smoothing on a given project as shown in Figure Q$1.$

Your solution shall show:

i$)$ Complete drawing of precedence diagram $($PDM$)$

ii$)$ Activities times and floats listed in a Table

iii$)$ Bar chart and resource histogram before levelling and smoothing

iv$)$ Bar chart and resource histogram after levelling and smoothing

$\backslash$table$[[$Activity$,$Duration $($Days$),$IPA,Laborers$],[$A$,6,-,2],[$B$,2,-,3],[$C$,9,-,3],[$D$,4,$A$,$ B$,3],[$E$,7,$B$,4],[$F$,5,$D$,2],[$G$,10,$D$,$ E$,3],[$H$,8,$C$,$ F$,$ G$,1],[$I$,3,$C$,$ G$,2],[$J$,2,$H$,$ I,$3]]$

EIGURE O$1$

a$.$ Assuming all activities start as soon as possible, what is the peak resource usage value for the schedule?

$(10$ marks$)$

b$.$ Manually level your resources with a maximum of eight labourers per day. Also, improve the daily resource use $($start low, increase the resource use gradually until it peaks around the middle of the project, and then gradually decrease it toward the end$).$

$(10$ marks$)$

c$.$ Analyse and illustrate the logical steps to smooth the resource usage so that the preferred resource usage profile with less resource load at the beginning builds up towards the middle of the project and decreases towards the end.

$(15$ marks$)$

$(40$ Marks$)$