Question $1$:

Part a$)$ Create an Activity$-$on$-$Arrow $($AOA$)$ diagram based on the following information:

Task A$,$ duration $2,$ no dependency

Task B$,$ duration $4,$ no dependency

Task C$,$ duration $7,$ no dependency

Task D$,$ duration $5,$ depends on Task A

Task E$,$ duration $3,$ depends on Task B and Task C

Task F$,$ duration $8,$ depends on Task C

Task G$,$ duration $10,$ depends on Task D and Task E

Task H$,$ duration $4,$ depends on Task E

Task I, duration $7,$ depends on Task F

Task J$,$ duration $12,$ depends on Task H and Task I

Part b$)$ Using the diagram you created in Part a$,$ calculate ES$,$ EF$,$ LS$,$ LF for each task.

Part c$)$ What does 'slack' mean? Also, please calculate the amount of slack for each task.

Part d$)$ List the tasks that appear on the critical path.

Part e$)$ When is the project expected to be completed $($project duration$)?$

Part f$)$ What happens to the critical path from the network schedule created in part a if the duration of Task E

changes to $11$ days?

Part g$)$ Can a project have multiple critical paths?