an experimental model and related data are listed in the following table:

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$Time $($weeks$)]],\backslash$table$[[$Crash$],[$Time $($weeks$)]],\backslash$table$[[$Normal$],[$Cost$]],\backslash$table$[[$Total Cost$],[$with$],[$Crashing$]],],[$A$,3,2,$$$1,400,$$$2,050,-],[$B$,2,1,$$$2,100,$$$2,800,-],[$C$,1,1,$$$400,$$$400,-],[$D$,7,3,$$$1,500,$$$1,820,$A$],[$E$,6,3,$$$850,$$$1,150,$B$],[$F$,2,1,$$$4,250,$$$5,750,$C$],[$G$,4,2,$$$1,500,$$$2,100,$D$,$ E$]]$

a$)$ Based on the given information regarding the activities for the project, the project completion date $=14$ weeks.

b$)$ To reduce the duration of the project to $10$ weeks at the least cost, the following is the order of what needs to be followed while crashing the activities:

The first activity to crash is by $2$ weeks at a per week crashing cost of dollars.

Next, one should crash activity D and activity by $2$ weeks for an additional total per week crashing cost of dollars.