Using the information provided in the table, the network diagram and the project completion time $=27$ weeks, calculate the minimum time for completing the project possible.

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$Time$],[($weeks$)]],\backslash$table$[[$Normal$],[$Cost$($$$)]],\backslash$table$[[$Crash$],[$Time$],[($weeks$)]],\backslash$table$[[$Crash$],[$Cost$($$$)]],\backslash$table$[[$Maximum$],[$weeks$],[$Reduced$]],\backslash$table$[[$Crash$],[$Cost per$],[$Week $($$$)]]],[$A$,4,500,3,900,1,400],[$B$,4,600,3,700,1,100],[$C$,6,800,3,1,300,3,167],[$D$,6,1,500,4,2,150,2,325],[$E$,6,1,750,4,2,250,2,250],[$F$,5,1,200,5,1,200,0,0],[$G$,7,1,500,5,1,800,2,150],[$H$,4,500,4,500,0,0]]$

AON network diagram:

$$

Minimum project completion time $=$ weeks