Table Q$1$ below shows activities for a small project from ABLOY Company. Based on the information given in Table $Q1,$ answer the questions given below.

Table Q$1$

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],$Direct Cost,$],[$Normal$,$Crash$],[,,$Time $($week$),$Cost $($RM$),$Time $($week$),$Cost $($RM$)],[$A$,-,3,1,600,2,1,800],[$B$,-,4,2,000,3,2,400],[$C$,-,7,600,5,750],[$D$,$A$,4,1,200,3,1,700],[$E$,$B$,4,800,3,1,100],[$F$,$C$,5,3,400,4,3,500],[$G$,$D$,$E$,5,2,200,3,2,900],[$H$,$D$,$E$,6,2,600,3,2,900],[$I$,$G$,8,1,600,5,2,050],[$J$,$F$,$H$,4,1,800,3,2,000],[$K$,$I.J$,3,1,750,2,1,850]]$

a$.$ Construct the network for the project crashing. Determine the paths and the critical path for the project with their expected completion time for each path. Calculate the total project cost and acceleration cost per time period for each activity.

$(20$ marks$)$

$($CLO$4$:PLO$5$:C$4)($WP$1)$

b$.$ The management of ABLOY Company instructed that the activities should be crashed to $21$ weeks project completion time. This is due to the pressure on moving the resources to the other project. Decide the new activities time and cost. You are required to show all calculation crashing steps from the actual project completion time to the $21$ weeks of the project crashing.

$(10$ marks$)($CLO$4$:PLO$5$:C$5)($WP$6,$ WK$6)$