Consider the Project Network and Data Shown Below ADetermine the Critical Path and the Project Completion Time

Consider the project network and data shown below: $\begin{array}{|c|c|c|c|c|c|c|}\hline\text { Activity } & \text { Slack } & \begin{array}{c}\text { Normal } \\\text { Time }\end{array} & \begin{array}{c}\text { Crash } \\\text { Time }\end{array} & \begin{array}{c}\text { Normal } \\\text { Cost }\end{array} & \begin{array}{c}\text { Crash } \\\text { Cost }\end{array} & \begin{array}{c}\text { Crash Cost } \\\text { Per Week }\end{array} \\\hline \text { A } & 0 & 7 & 4 & \$ 400 & \$ 750 & \\\hline \mathrm{B} & 1 & 12 & 9 & \$ 1,000 & \$ 2,200 & \\\hline \mathrm{C} & 0 & 7 & 6 & \$ 800 & \$ 1,100 & \\\hline \mathrm{D} & 0 & 6 & 5 & \$ 600 & \$ 1,000 & \\\hline \mathrm{E} & 0 & 8 & 6 & \$ 1,200 & \$ 2,200 & \\\hline \mathrm{F} & 9 & 3 & 2 & \$ 800 & \$ 1,000 & \\\hline \mathrm{G} & 9 & 3 & 2 & \$ 500 & \$ 650 & \\\hline \mathrm{H} & 0 & 4 & 3 & \$ 400 & \$ 600 & \\\hline \mathrm{I} & 0 & 6 & 5 & \$ 900 & \$ 1,300 & \\\hline\end{array}$
a.Determine the critical path and the project completion time.
b.Determine the crash cost per week for all activities
c.Which activities need to be crashed to reduce the project's completion time by 4 weeks? How much does this cost?