The table below contains data for the installation of new equipment in a manufacturing process at Excello Corporation. Your company is responsible for the installation project.

$\backslash$table$[[$Activity Immediate Predecessor$($s$),\backslash$table$[[$Normal Time$],[($weeks$)]],\backslash$table$[[$Crash Time$],[($weeks$)]],\backslash$table$[[$Normal Cost$],[($$$)]],\backslash$table$[[$Crash Cost$],[($$$)]],],[$A$,-,4,3,7,000,10,000],[$B$,-,3,3,3,000,3,000],[$C$,$A$,5,3,12,000,40,000],[$D$,$B$,2,1,12,000,28,000],[$E$,$C$,1,1,8,000,8,000],[$F$,$D$,$ E$,5,4,5,000,13,000],[$G$,$E$,3,2,9,000,15,000]]$

a$.$ What is the shortest time duration for this project regardless of cost$?$

The shortest project duration regardless of cost is $,$ weeks. $($Enter your response as a whole number.$)$