Q$4$Question $4$:

The following table shows the set of activities for a project. Normal duration, normal cost, crash duration, and crash cost for each activity are given in the table.

$\backslash$table$[[$Activity$,$Predecessor,$\backslash$table$[[$Normal$],[$Duration$],[($weeks$)]],\backslash$table$[[$Normal$],[$Cost$],[($$$)]],\backslash$table$[[$Crash$],[$Duration$],[($weeks$)]],\backslash$table$[[$Crash$],[$Cost$],[($$$)]]],[$A$,-,5,1200,1,2300],[$B$,-,4,1500,4,1500],[$C$,$A$,7,1000,4,2650],[$D$,$A$,11,900,9,1300],[$E$,$A$,$B$,11,1400,8,2075],[$F$,$B$,8,2000,6,2350],[$G$,$C$,$D$,8,600,5,1350],[$H$,$F$,5,800,3,1500],[$I$,$E$,$G$,$H$,12,1800,8,3700]]$

Construct the network diagram and determine the earliest start and finish times, latest start and finish times, and slacks for each activity.

Indicate the critical path and the project duration. Then reduce the project completion time by $11$ weeks. What is the new project completion time after crashing? Calculate the total cost.