The Critical Path for This Network Is a - E

The critical path for this network is A - E - F and the project completion time is 22 weeks. $$\begin{array} { c c c c r } \text { Activity } & \begin{array} { c } \text { Normal } \\\text { Time }\end{array} & \begin{array} { c } \text { Crash } \\\text { Time }\end{array} & \begin{array} { c } \text { Normal } \\\text { Cost }\end{array} & { \begin{array} { c } \text { Crash } \\\text { Cost }\end{array} } \\\hline \text { A } & 12 & 8 & 8,000 & 12,000 \\\text { B } & 14 & 10 & 5,000 & 7,500 \\\text { C } & 8 & 8 & 10,000 & 10,000 \\\text { D } & 5 & 3 & 6,000 & 8,000 \\\text { E } & 4 & 3 & 5,000 & 7,000 \\\text { F } & 6 & 5 & 9,000 & 12,000 \\\text { G } & 10 & 8 & 5,000 & 8,000\end{array}$$ If a deadline of 17 weeks is imposed, give the linear programming model for the crashing decision.