12. A project manager has compiled a list of major activities that will be required to install a computer information system in her firm. The list includes estimated completion times for activities and precedence relationships. a.)Construct a network diagram. You can use either AOA or AON. b.) If the project is finished within 26 weeks of its start, the project manager will receive a bonus of $1,000; and if the project is finished within 27 weeks of its start, the bonus will be $500. Find the probability of each bonus.

\begin{tabular}{|c|c|c|c|} \hline Acturity & Immediate P & Predecessor & Estimated Times (meeks) \\ \hline A & & = & 2+66 \\ \hline 0 & & A & 6810 \\ \hlineE & & 0 & 7912 \\ \hline H & & e & \\ \hline F & & A & \\ \hline 9 & & F & \\ \hline & & - & 223 \\ \hline 1 & & a & 236 \\ \hline j & & 1 & 345 \\ \hline & & J & 450 \\ \hline c & & = & 5312 \\ \hlineu & & c & \\ \hlineN & & M & 6711 \\ \hline 0 & & N & 89.13 \\ \hline Ens & ma & a. K,0 & \\ \hline \end{tabular}