$[12]$ Calculate the normal, least$-$cost$,$ and crash durations for the following project. Calculate the cost associated with each duration. Indirect $($overhead$)$ costs are $$100$ per day. Also, plot project duration versus project costs $($direct$,$ indirect, and total$).$

$\backslash$table$[[,,$Duration $($days$),,$Cost $($$$)],[$Activity$,$IPA,Normal,Crash,,Normal,Crash$],[$A$,-,7,5,,500,640],[$B$,$A$,6,5,,550,630],[$C$,$A$,8,5,,800,935],[$D$,$B$,10,7,,1200,1440],[$E$,$B$,$ C$,6,4,,600,700],[$F$,$C$,4,3,,500,590],[$G$,$D$,$ F$,4,2,,700,1000],[$H$,$E$,$ F$,7,4,,650,950],[$I$,$G$,$ H$,2,2,,300,300]]$

please solve this question in detail: