Consider the project dependency matrix and activity durations in days provided below.

a. [20 points] Draw the project network diagram with the completed CPM analysis. b. [5 points] What is the shortest duration of this project? c. [5 points] What is the critical path of this project?

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline & A1 & A2 & A3 & A4 & A5 & A6 & A7 & A8 & A9 & A10 & A11 & A12 \\ \hline A1 & & & & & & & & & & & & \\ \hline A2 & X & & & & & & & & & & \\ \hline A3 & X & & & & & & & & & & \\ \hline A4 & X & & & & & & & & & & \\ \hline A5 & & & X & X & & & & & & & & \\ \hline A6 & & & & X & X & & & & & & & \\ \hline A7 & & X & & & & & & & & & & \\ \hline A8 & & & & & & & X & & & & & \\ \hline A9 & & & & & & & X & & & & \\ \hline A10 & & & & & & & & X & & & \\ \hline A11 & & & & & & & & & X & & \\ \hline A12 & & & & & & X & & & & X & X & \\ \hline Duration & 5 & 6 & 4 & 6 & 11 & 9 & 7 & 3 & 10 & 9 & 8 \\ \hline \end{tabular}