2. Using the following information, create a network diagram. Calculate the total duration (days) of the project, its early start, early finish, late start, and late finish times, and the slack for each activity. Finally, identify the project's critical path. (4 pts.) Activity Puratha Predeces ESEFUSUF Free Total Slack Slack A 13 12 D 15 12 RC A E 1 17 CD L! 10 13 1 3 K 1 12 C G G. LI Now, assume that activity E has taken 10 days past its anticipated duration to complete. What happens to the project's schedule? Has the duration changed? Is there a new critical path? A) Initial Duration=78d, Critical Path (A-B-D-G-H-I- K) Free Slack (C = 0d, E = 1d, F = 8d, H = 7d, J=10d) Total Slack (C-1d, Eld, F = 8d, H=17d, J-100) After Activity E takes additional 10 days, Duration=79d, Critical Path (A-E-G-1-K) By Initial Duration=78d, Critical Path (A-B-D-G) Free Slack (C =0d, E = ld, F = 8d, H0d, J=10d) Total Slack (C=10, E= 1d, F=8d, H=170, J= 10d) After Activity E takes additional 10 days. Duration=88d. Critical Path (A-E-G-1-K) Initial Duration=78d, Critical Path (A-B-D-G-I-K) Free Slack (C = 90, E=0d, F=0d, H = 7d, J = 10d) Total Slack (C = 90, E90, F = 170, H = 170, = 100) After Activity E takes additional 10 days, Duration=79d, Critical Path (A-E-G-1-K) D) Critical Path (A-B-D-G-H-I-K) Free Slack (C =0d, E-1d, F-8d, H = 7d, J = 10d) Total Slack (C = 1d, E= 1d. F=8d, H = 17d, J = 10d) After Activity E takes additional 10 days, Duration=78d, Critical Path (A-E-G-1-K)