Create a PERT network diagram to represent the project schedule and calculate the Early Start, Early Finish, Late Start, Late Finish, and Slack for each activity.

Here are the solutions to your questions based on the provided project schedule:

1. Project Schedule Analysis

• a) Create a PERT network diagram to represent the project schedule above. To create the PERT network diagram, we first calculate the Early Start (ES), Early Finish (EF), Late Start (LS), Late Finish (LF), and Slack for each activity.

  Activity Calculations:

  $$\begin{array}{|c|c|c|c|c|c|c|c|} \hline \textbf{Activity} & \textbf{Duration} & \textbf{Predecessor(s)} & \textbf{ES} & \textbf{EF} & \textbf{LS} & \textbf{LF} & \textbf{Slack} \\ \hline \text{A} & 2 & - & 0 & 2 & 0 & 2 & 0 \\ \text{B} & 2 & \text{A} & 2 & 4 & 4 & 6 & 2 \\ \text{C} & 3 & \text{A} & 2 & 5 & 2 & 5 & 0 \\ \text{D} & 4 & \text{A} & 2 & 6 & 3 & 7 & 1 \\ \text{E} & 2 & \text{B} & 4 & 6 & 6 & 8 & 2 \\ \text{F} & 3 & \text{C} & 5 & 8 & 5 & 8 & 0 \\ \text{G} & 6 & \text{D} & 6 & 12 & 7 & 13 & 1 \\ \text{H} & 2 & \text{E, F} & 8 & 10 & 12 & 14 & 4 \\ \text{I} & 5 & \text{E, F} & 8 & 13 & 8 & 13 & 0 \\ \text{J} & 1 & \text{G, I} & 13 & 14 & 13 & 14 & 0 \\ \text{K} & 2 & \text{H, J} & 14 & 16 & 14 & 16 & 0 \\ \hline \end{array}$$

  PERT Network Diagram Description:
  The diagram starts with a single node (Start).

  • Activity A (Duration 2) starts from the Start node.
  • Activities B (Duration 2), C (Duration 3), and D (Duration 4) start after A finishes.
  • Activity E (Duration 2) starts after B finishes.
  • Activity F (Duration 3) starts after C finishes.
  • Activity G (Duration 6) starts after D finishes.
  • Activities H (Duration 2)