You are the project manager working for Mack's Pool Co$.$ Your project consists of installing a new hot tub at a client's patio. You would like to find the minimum cost schedule for your project. There is a $$50$ per week penalty for each week the project is delayed beyond week $13.$ In addition, your project team determined that indirect costs are $$15$ per week.

$\backslash$table$[[$ACTIVITY$,\backslash$table$[[$Immediate$],[$Predecessor$],[($s$)]],\backslash$table$[[$NORMAL$],[$TIME $($NT$)]],\backslash$table$[[$CRASH$],[$TIME $($CT$)]],\backslash$table$[[$Normal$],[$Cost $($NC$)]],\backslash$table$[[$Crash$],[$Cost$],[($CC$)]]],[$A$,--,2,1,50,70],[$B$,$A$,4,2,80,160],[$C$,$A$,8,4,70,110],[$D$,$A$,6,5,60,80],[$E$,$B$,7,6,100,130],[$F$,$D$,4,3,40,100],[$G$,$C$,$ E$,$ F$,5,4,100,150]]$

Before crashing, the project duration is week$($s$).$