3. 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. Activity Immediate Predecessor(s) Time (days) A 10 B 20 C A 4 D AB 8 E C, D 6 D 5 G G E, F 7 a. Continued on next page fill in the table with cach 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. Path Time ACEG ADEG ADFG 10+4+6+7 = 27 DAYS 10+8+6+7 = 31 DAYS 10+8+5+7 = 30 DAYS IRRI 20 a. Fill in the ES & EF times in the table below working from Start to finish. Then, fill in the LS & LF times working backward from Finish to Start. After determining the ES, EF, LS, & LF times, calculate the Slack time for each activity using both SlackLS- ES and Slack=LF-EF. Note: Both calculations must give you the same answers. Activity ES EF LS ILF Slack A B D E F G a. Continued on next page 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. Path ACEG ADEG Time 10+4+6+7 = 27 DAYS 10+8+6+7 = 31 DAYS ADFG 10+8+5+7 = 30 DAYS BDFG = 20+8+5+7 = 40 DAYS 20+8+6+7 = 41 DAYS BDEG a. Fill in the ES & EF times in the table below working from Start to finish. Then, fill in the LS & LF times working backward 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. Activity ES EF LS LF Slack