Question Six

Suppose you are working on a new software product development. Table below provides the information about the activities, immediate predecessors, normal time and costs and crash times and costs.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],\backslash$table$[[$Normal$],[$Time$],[($weeks$)]],\backslash$table$[[$Crash$],[$Time$],[($weeks$)]],\backslash$table$[[$Normal$],[$Cost$],[($$$)]],\backslash$table$[[$Crash$],[$Cost$],[($$$)]]],[$A$,$None,$5,2,25000,34000],[$B$,$None,$4,2,30000,40000],[$C$,$A$,$B$,10,6,45000,81000],[$D$,$B$,5,3,30000,38000],[$E$,$C$,$D$,7,6,30000,37000],[$F$,$C$,5,3,20000,26000],[$G$,$E$,$ F$,6,4,35000,65000]]$

i$.$ Draw an Activity on Arrow $($AoA$)$ diagram for the project activities

$(03$ marks$)$

ii$.$ Determine the critical path of the project

$(02$ marks$)$

iii. If management wanted to reduce the project period to $20$ weeks to beat competition, which activities can they crash? $($Illustrate your answer with a crash table and total crash cost.$)$

$(08$ marks$)$

iv$.$ Calculate the planned crash cost of the project

$(02$ marks$)$

v$.$ Draw a full Gant chart for the resulting project showing activity, Precedence and optimized duration.

$(10$ marks$)$