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 fimish $($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$.$

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

a$)$ Fill in the table with each path and show your work by calculating the time for each path in the table to determine the critical $($longest$)$

path$($s$).$ Add$/$delete rows in the table as needed. You must indicate the critical path and the estimated project completion time below

the table.

b$)$ Fill in the ES & EF times in the table below working from Start to Finish. Then, fill in the LS & LF times working backwards from

Finish to Start. After determining the ES$,$ EF$,$ LS$,$ & LF times, calculate the Slack time for each activity using both Slack $=$ LS $-$ ES

and Slack $=$ LF $-$ EF$.$ Note: Both calculations must give you the same answers.