Question $1(30$ points$)$: You are given the project information below.

$\backslash$table$[[$Activity$,$Description,Predecessor,$\backslash$table$[[$Duration$],[($months$)]],\backslash$table$[[$Total Direct$],[$Cost$]],\backslash$table$[[$Cost to Reduce$],[$Activity$],[$Duraiton by $1],[$month$]]],[A,$Excavation,$-,8,100,000,],[B,$Slab on Grade,$A,4,60,000,],[$C$,$Framing,B$,12,30,000,],[D,$Plumbing,B$,6,150,000,],[$E$,$Electircal Wiring,$C,3,75,000,],[F,$Drywall,C$,5,60,000,],[G,$HVAC rough in$,C,4,40,000,],[H,$Roof,C$,5,100,000,],[1,$Paint,$F,4,30,000,],[J,$HVAC finish,$G,H,4,50,000,],[K,$Electircal Finish,D$,$I,$3,50,000,],[L,$Furnishing,$E,H,1,100,000,-],[M,$Punch list and cleanup,$J,K,L,1,10,000,=$