Question: Consider a construction project with the following activities, their immediate predecessors, and estimated durations $($in days$)$:

$\backslash$table$[[$Activity$,$Predecessors,$\backslash$table$[[$Duration$],[($days$)]]],[$A$,-,4],[$B$,$A$,2],[$C$,$A$,4],[$D$,$A$,5],[$E$,$B$,$C$,3],[$F$,$B$,$G$,8],[$G$,$D$,2],[$H$,$F$,5],[$I$,$E$,$F$,2],[$J$,$H$,$I,$1]]$

a$.$ Draw the network diagram using PDM for the project.

$(4$ points$)$

b$.$ Calculate the project duration. $(1$ point$)$

c$.$ Find all the project' paths and identify the Critical Path.

$(3$ points$)$

d$.$ Determine the Total Float for each activity.

$(2$ points$)$