A project has the activity duration and cost information indicated in the table where all times are in weeks. What is the lowest cotal cost for completing this project in $33$ weeks?

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$time$]],$Crash time,$\backslash$table$[[$Normal$],[$Cost$]],\backslash$table$[[$Crash$],[$Cost$]],$Predecessor$],[$A$,8,5,$$$1,000,2,000,],[$B$,6,4,1,500,2,000,$A$],[$C$,8,5,1,800,2,300,$A$],[$D$,12,9,1,000,1,800,$B$],[$E$,14,11,950,1,450,$B$],[$F$,9,7,1,500,1,900,$C$,$ D$],[$G$,7,5,2,300,2,800,$E$,$ F$]]$