Section 1: Problems (30 points) 1. A software implementation project is broken down into the following activities. (10 points) Intermediate Predecessor Activities Activity Duration (Days) Activity Intermediate Predecessor Activities Activity Duration (Days) Activity a b OOOO 10 10 15 10 20 15 E g h 1 on oo on b b d, h, 17 12 9 7 d e a) Draw the precedence / network diagram using either of the two (AOA or AON) notations ofy your choice. Explicitly mention the notation that you use. Also mention the time estimates for each activity appropriately along with each activity name. (3 points) b) Find the critical path and the duration (in weeks) for the project's completion (3points) Identify the activities that have some slack and mention how many weeks of slack those activities have (4 points)