The city of Charleston, SC is opening a new performing arts center. You have been given the following tasks which must be accomplished to complete the project.

Activity | Duration (in weeks) | Immediate Predecessor

A | 8 | -

B | 2 | A

C | 3 | A

D | 6 | B

E | 4 | B, C

F | 7 | C

G | 10 | D, E, F

Draw an Activity-on-Node Network to represent this project. Find the critical path. Please help me complete forward and backward pass to derive the earliest start (ES), earliest finish (EF), latest start (LS), latest finish (LF) and slack times for all of the activities. Once you have calculated the slack times for all activities, sum the slack times over all activities and enter that total number as your final answer.

Enter your answer as an integer. E.g. if Slack_A = 0, Slack_B = 0, Slack_C=20, Slack_D=7, Slack_E=0, Slack_F=6, and Slack_G =4 enter 0 0 20 7 0 6 4 = 37