Critical Path Analysis (10 points) You have been asked to complete a project in the shortest time possible. The project tasks' duration (in days). and predecessors are shown below, Tasks Duration Predecessors A 2 None B 4 None C 1 None D 6 B E 5 AB F 3 C.D G 6 AE H 4 F I 7 G. H Answer the following questions: 1. Construct the project dependency diagram using the PDM method. 2. What are the different paths (sequence of tasks) to finish the above project and how many days does each path take? 3. What is the critical path, 1.e., the shortest time in which the above whole project can be completed? You can draw the diagram using word, or by hand and then take a picture, and then submit through Titanium