Question:

$4\mathrm{.}2$

The following Table contains activities that must be completed to finish a project. Associated with the activities are activity times, variances and immediate predecessors.

$\backslash$table$[[$Activity$,\backslash$table$[[$Activity$],[$Time$]],\backslash$table$[[$Activity$],[$Variance$]],\backslash$table$[[$Immediate$],[$Predecesso$]]],[$A$,8,2,--],[$B$,7,1,-],[$C$,13,3,$A$],[$D$,10,2,$B$],[$E$,11,2,$C$],[$F$,14,4,$D$],[$G$,13,1,$E$],[$H$,11,2,$F$]]$

Using the table above draw the network diagram. From the diagram drawn $-$ determine:

A$)$ The number of paths.

B$)$ The critical path.

C$)$ The length of the critical path.

D$)$ Determine if shortening activity

E by

$2$ decreases the project time.