Exercise $5$

Consider the project given in the table below. The activities, predecessors, normal durations, normal cost, crashability, cost slope, the resources usage and resource limits are shown in the table.

$\backslash$table$[[$Activity$,$Predecessors,Normal,Crashability $($Weeks$),\backslash$table$[[$Cost slop$],[($SR$/$week$)]],$Resource Rate$],[\backslash$table$[[$Duration$],[($Weeks$)]],$Cost $($SR$),$Resource I $9$ units,Resource II $9$ units$],[$A$,---,2,2400,-,-,3,1],[$B$,$A$,8,9600,2,200,4,6],[$C$,$A$,6,4800,2,50,7,6],[$D$,$A$,4,1200,1,200,6,5],[$E$,$A$,3,2700,-,-,4,1],[$F$,$B$,12,7200,4,100,2,0],[$G$,$C$,$ D$,4,4000,1,75,7,9],[$H$,$D$,$ E$,6,6000,3,100,6,4],[$K$,$F$,$ G$,$ H$,3,2100,-,-,2,0]]$

a$.$ Determine the project completion date and mark the critical path. Calculate the activities free and total floats.

$(5$ marks$)$

b$.$ Assume that only $9$ units are available from each resource. Calculate the activities start and finish dates that satisfies the resources constraints "Resource Scheduling".

$(7$ marks$)$

c$.$ Consider the same project presented in the table and assume that the indirect cost of this project is LE$100/$week$.$

i$.$ Find the optimum project duration and the total project cost at that duration.

$(4$ marks$)$

ii$.$ What is the minimum project duration and the total cost at that duration?

$(4$ marks$)$