QUESTION 4 A computer network company installs network points. The project manager has been very concerned with the amount of time it took to complete several recent jobs. The data obtained (all in days) for a new contract are listed in the following table:

Required:

2.1 Determine the expected completion time and variance for each activity. (8 marks)

2.2 Construct an AON network for the activities of this contract. (8 marks)

2.3 Determine the critical path for the project by determining the slack for each activity (8 marks)

2.4 What is the probability that this project will be completed in 40 days? (6 marks)

\begin{tabular}{|c|c|c|c|c|} \hline Activity & Immediate Predecessor & Optimistic & Most Likely & Pessimistic \\ \hline A & & 3 & 6 & 8 \\ \hline B & & 2 & 4 & 4 \\ \hline C & & 1 & 2 & 3 \\ \hline D & C & 6 & 7 & 8 \\ \hline E & B D & 2 & 4 & 6 \\ \hline F & A E & 6 & 10 & 14 \\ \hline G & A E & 1 & 2 & 4 \\ \hline H & F & 3 & 6 & 9 \\ \hline I & G & 10 & 11 & 12 \\ \hline J & C & 14 & 16 & 20 \\ \hline K & H & 2 & 8 & 10 \\ \hline \end{tabular}