Please show all work and steps.

Consider the activity list in the table below. All duration estimates or estimated times are in days. 1. Draw an AOA network diagram representing the project. The network should proceed from Node 1 to Node 9. Put the node numbers in circles and draw arrows from node to node, labeling each arrow with the activity letter and estimated time. 2. Identify all of the paths on the network diagram and note how long they are. 3. What is the critical path for this project and how long is it? 4. What is the shortest possible time needed to complete this project? Activity Initial Node Final Node Estimated Duration 1 2 1 B 2 3 3 C 2 4 1 D 2 5 2 E 3 6 2 F 4 6 4 G 5 7 3 H 6 8 3 1 6 7 1 7 8 7 | 8 9 4