You are given the activity information below and the activity$-$on$-$node precedence diagram for a project at your company. $16$ points $(-4/$error$)$

a$)$ Determine the critical path and its duration. What is your initial estimate for project completion time? Show your work on the next page.

b$)$ Fill in the table on the next page to determine the earliest start $($ES$)$ time, the earliest finish $($EF$)$ time, the latest start $($LS$)$ time, the latest finish $($LF$)$ time, and the Slack for each project activity. Slack $=$ LS $-$ ES or LF $-EF.$

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessor$($s$)]],$Time $($days$)],[$A$,---,9],[$B$,---,10],[$C$,$A$,$B$,11],[$D$,$B$,4],[$E$,$C$,13],[$F$,C_{,}D,12],[$G$,$E$,11],[$H$,$E$,$ E$,10]]$

Note: This precedence diagram is posted as a separate pdf also.

Problem $3$ continues on the next page.