The Advanced Tech Company has a project to design an integrated information data base for a major bank. Data for the project are given in the following table. Indirect project costs amount to $$150$ per day. The company will incur a $$200$ per day penalty for each day the project lasts beyond day $14.$

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$Time $($days$)]],$Normal Cost $($$$),\backslash$table$[[$Crash$],[$Time $($days$)]],\backslash$table$[[$Crash Cost$],[($$$)]],$Immediate Predecessor$($s$)],[$A$,4,900,3,1,000,-],[$B$,6,1,000,3,2,200,-],[$C$,4,500,3,1,000,$A$,$ B$],[$D$,3,1,200,2,1,500,$B$],[$E$,4,1,500,4,1,500,$C$,$ D$],[$F$,2,1,300,1,1,400,$E$],[$G$,4,900,1,1,500,$E$],[$H$,5,300,2,600,$G$]]$

a$.$ What is the project's duration if only normal times are used?

The project duration is day$($s$).($Enter your response as an integer.$)$

b$.$ What is the minimum$-$cost schedule?

With the minimum$-$cost schedule, the project duration is day$($s$).($Enter your response as an integer.$)$

c$.$ What is the critical path for the minimum$-$cost schedule?

The critical path for the minimum$-$cost schedule is