Consider the following project, all durations are in days. Construct a precedence diagram, find the critical path and which tasks have slack and how much each has. Which tasks would you recommend crashing to reduce the project duration by six days assuming that it costs the same to crash each task and no task by be crashed to less than half its original duration and tasks A and N cannot be crashed at all? (20 points) SHOW ALL WORK

\begin{tabular}{|l|l|l|} \hline Task & Predecessors & MostLikelyDuration \\ \hline A & - & 4 \\ \hline B & A & 12 \\ \hline C & A & 7 \\ \hline D & A & 12 \\ \hline E & B & 10 \\ \hline F & E & 7 \\ \hline G & C & 18 \\ \hline H & C & 13 \\ \hline I & G & 10 \\ \hline J & H & 13 \\ \hline K & D & 10 \\ \hline L & K & 11 \\ \hline M & L & 7 \\ \hline N & F, I, J, M & 3 \\ \hline \end{tabular}