Chapter 6, Problem 2E

a. AOA network diagram:

Explanation of Solution

Draw an Activity on Arrow (AOA) network diagram representing the project given in Table 6.2 of the book. To accomplish the network diagram, follow the following steps:-

1. Put the node numbers 1 to 9 in circles.

2. Find all of the activities that start at node 1. Draw arrows between node 1 and those finish nodes. Put the activity letter and duration estimate on the associated arrow. In this case, Draw an edge from node 1 to 2 and label it as A=2. Label A=2 means activity A has a duration of 2 days.

3. Continue drawing the project network diagram until all activities are included on the diagrams that have dependencies.

4. Label each arrow with the activity letter and estimated time. The below network diagram has 11 arrows corresponding to 11 rows in the table.

• Draw second edge from node 2 to 3 and label it as B=2...

b. All paths on the network diagram:

Explanation of Solution

To identify all the paths on the network diagram, just follow the arrows to identify distinct routes from node 1 to node 9.

To find out length of each path, just add the duration for all activities on that path.

...

Path No	Route	Length / Total Duration

c. Critical path for this project

Explanation of Solution

The longest path in the network diagram is the critical path...

d. Shortest possible time needed to complete this project:

Explanation of Solution

The critical path represents the shortest time requir...