The time$-$cost estim gtes for the various activities of a project are given below:

$\backslash$table$[[$Autivity$,$Predecessor,$\backslash$table$[[$Normal$],[$Time$],[($Days$)]],\backslash$table$[[$Normal Cost$],[($$$)]],\backslash$table$[[$Crash$],[$Time$],[($Days$)]],\backslash$table$[[$Crash$],[$Cost$],[($$$)]]],[$A$,-,8,8000,6,10000],[$B$,-,7,6000,5,8400],[$C$,$A$,5,7000,4,8500],[$D$,$B$,4,3000,3,3800],[$E$,$A$,3,2000,2,2600],[$F$,$D$,$ E$,5,5000,3,6600],[$G$,$C$,4,6000,3,7000]]$

The project manager wishes to complete the project in the minimum possible time. However, he is not authorized to spend more than $$5000$ on crashing.

Suggest the least $-$ cost schedule for achieving the objective of the project manager. Assume that there is no indirect or utility cost