Chapter 6: Assignment - AOA Network Diagram [Task Direction] Read the direction on the task carefully and complete the task. Submit your work in an MS word file. [Task-Activity-On-Arrow (AOA) Network Diagram Analysis] Consider Table 6-2. All duration estimates or estimated times are in days, and the network proceeds from Node 1 to Node 9. TABLE 6-2 Network diagram data for a small project Activity Initial Node Final Node Estimated Duration A 1 2 2 B 2 3 2 2 4 D 2 5 E 3 6 F 4 6 G 5 7 H I J K 6678 8 7 8 9 342362512 a. Draw an AOA network diagram representing the project. Use tools in [insert]-[Shapes] in MS-word program and draw your diagram. Put the node numbers in circles and draw arrows from node to node, labeling each arrow with the activity letter and estimated time. The sample AOA diagram is presented below. Figure 6-2. Network Diagram for Project X A=1 B = 2 C=3 m D=4 E=5 H=6 F = 4 J=3 G=6 7 Note: Assume all durations are in days; A=1 means Activity A has a duration of 1 day. b. Identify all of the paths on the network diagram and note how long they are, using Figure 6- 8 as a guide for how to represent each path. For the solution, the sample paths and lengths are presented below. Figure 6-8. Determining the Critical Path for Project X (e.g.) Path 1: xxxxx Path 2: xxxxx Path 3: D=4 H=6 E=5 B=2 J-3 C=3 G=6 Note: Assume all durations are in days. Path 1: Path 2: Path 3: B-E-H-J B-F-J Path 4: C-G-I-J A-D-H-J Length 1+4+6+3 = 14 days Length 2+5+6+3 16 days Length 2+4+3 9 days Length = 3+6+2+3 = 14 days C. What is the critical path for this project and how long is it? d. What is the shortest possible time needed to complete this project?