$\backslash$table$[[$Activity$,$Immediate Predecessor,Normal Duration$],[$A$,$None,$6$ weeks$],[$B$,$A$,3$ weeks$],[$C$,$A$,3$ weeks$],[$D$,$B $,$ C$,7$ weeks$],[$E$,$C$,6$ weeks$],[$F$,$D$,$ E$,2$ weeks$]]$

Draw the project network for the above information.

$(5$ marks$)$

Explain with example what is the critical path?

$(5$ marks$)$

Based on the above information and Table below, crash the project by $2$ weeks $(1$ week at a time$),$ indicating which activities should be crashed each week and what the effect is on the total project cost.

$(10$ marks$)$