## AOA (Activity on Arrow) Diagram Construction ### **Step 1: List the Activities and Predecessors** | Activity | Immediate Predecessor(s) | |----------|-------------------------| | A | — | | B | — | | C | A | | D | A | | E | B | | F | B | | G | C, E | | H | D, F | --- ### **Step 2: Draw the AOA Diagram** #### **Instructions:** - **Nodes** represent events (start or finish of activities). - **Arrows** represent activities, labeled with their activity name. --- #### **Step-by-Step AOA Construction:** 1. **Start Node (Event 1)** 2. Draw arrows from Event 1 to Event 2 and Event 3 for activities **A** and **B** (since they have no predecessors). - Event 1 → Event 2: **A** - Event 1 → Event 3: **B** 3. From the end of **A** (Event 2), draw arrows for **C** and **D**. - Event 2 → Event 4: **C** - Event 2 → Event 5: **D** 4. From the end of **B** (Event 3), draw arrows for **E** and **F**. - Event 3 → Event 6: **E** - Event 3 → Event 7: **F** 5. **G** depends on **C** and **E**. Use a dummy activity (dashed line) if necessary to show both must finish before G starts. - Event 4 (**C**) and Event 6 (**E**) must both lead to G. - Create Event 8: - Event 4 → Event 8 (dummy) - Event 6 → Event 8 (dummy) - Event 8 → Event 9: **G** 6. **H** depends on **D** and **F**. Similarly, use a dummy if needed. - Event 5 (**D**) and Event 7 (**F**) must both lead to H. - Create Event 10: - Event 5 → Event 10 (dummy) - Event 7 → Event 10 (dummy) - Event 10 → Event 11: **H** --- ### **AOA Diagram Sketch** ```plaintext [Start] / \ A B / \ [2] [3] / \ / \ C D E F | | | | [4] [5] [6] [7] \ / \ / | \ / dummy dummy | | [8] [10] | | G H | | [9] [11] ``` - **C and E** must both complete before **G** starts (dummy arrows to event 8). - **D and F** must both complete before **H** starts (dummy arrows to event 10). --- ### **Summary of Steps** 1. Start with activities without predecessors. 2. Draw arrows for each activity. 3. Use dummy activities to show multiple dependencies. 4. Connect all activities as per their dependencies. --- If you need a computer-generated diagram, let me know!