You are a project manager tasked to manage Project A. The requirements of the project are as follow: (a) (b) (c) (d) (e) (f) There are a total of 10 activities in Project A. Activity 1 takes 3 days. Activity 2 takes 7 days and is preceded by Activity 1. Activity 3 takes 2 days and is preceded by Activity 1. Activity 4 takes 3 days and is preceded by Activity 1. Activity 5 takes 4 days and is preceded by Activity 2 and 4. Activity 6 takes 6 days and is preceded by Activity 2 and 3. Activity 7 takes 5 days and is preceded by Activity 4. Activity 8 takes 10 days and is preceded by Activity 5 and 7. Activity 9 takes 3 days and is preceded by Activity 6. Activity 10 takes 2 days and is preceded by Activity 8 and 9. Apply the given information to construct a Precedence Diagram. With the precedence diagram, construct the Project Network Diagram together with the legend. Determine how long would it take for the project to be completed. Determine the critical path(s) for this project. List the activity or activities with free float. In your project team is a member who has a history of missing work due to medical reasons. Respond to this member by assigning him the most appropriate activity. Briefly explain your reason for doing so.