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 $$150$ per day. The company will incur a $$100$ per day penalty for each day the project lasts beyond day $15.$

$\backslash$table$[[$Activity$,\backslash$table$[[$Normal$],[$Time $($days$)]],$Normal Cost $($$$),\backslash$table$[[$Crash$],[$Time $($days$)]],\backslash$table$[[$Crash Cost$],[($$$)]],$Immediate Predecessor$($s$)],[$A$,6,800,4,1,200,-],[$B$,6,1,000,2,2,200,-],[$C$,2,600,1,900,$A$,$ B$],[$D$,4,1,200,2,2,000,$B$],[$E$,4,1,000,1,1,300,$C$,$ D$],[$F$,3,1,300,1,1,400,$E$],[$G$,3,900,3,900,$E$],[$H$,5,500,3,900,$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 minimu$-$cost schedule?

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