A simple project listing of five activities, their predecessors, and their respective time estimates are presented here:

Activity Immediate Predecessor Time in Days

A None $3$

B A $2$

C A $1$

D B and C $3$

E D $4$

Using CPM$,$ what is the latest finish time for the last activity in this project $($i$.$e$.,$ the total time to complete the project$)?$

Multiple Choice

$10$ days

$7$ days

$8$ days

$12$ days

$9$ days