PROBLEM 3: CRITICAL PATH METHOD (CPM) OR DETERMINISTIC PROJECT MANAGEMENT (20 points) DuPont Chemical Company and Rand Corporation created CPM, Chapters 4 and 5. Given the following data: Activity Predecessor Total Slack A B D E F G N/A A A B D, E, F Duration (in Days) 3 4 5 8 5 12 7 a. Sketch the network diagram with related attributes (activities and durations) (5 points) b. Identify all paths and their respective time, find the critical path, and calculate the project's total duration (5 points). Path example: A -> .... .........-> G = ... days. c. Calculate early start (ES), early finish (EF), late start (LS), late finish (LF), and total slack for each activity using forward pass and backward pass. Put those numbers (ES, EF, etc.) on the network diagram. Fill the total slack in the above table (NOTES: Please use 'O' to start the date) (10 points)