Consider the following set of activities that must be completed to prep a new home for painting.

$\backslash$table$[[$Activity$,\backslash$table$[[$Immediate$],[$Predecessors$]]],[$A$,-],[$B$,-],[$C$,-],[$D$,$A$,$ B$],[$E$,$C$],[$F$,$D$,$ E$],[$G$,$E$],[$H$,$F$,$ G$],[$I$,$F$],[$J$,$I, H$]]$

Refer to the information above. Assume that the time required to complete each activity is as follows.

$\backslash$table$[[$Activity$,$Time $($Days$)],[$A$,3],[$B$,4],[$C$,5],[$D$,3],[$E$,2],[$F$,1],[$G$,4],[$H$,3],[$I$,2],[$J$,5]]$

a$.$ Calculate the slack for each activity.

b$.$ Calculate the earliest and latest start and finish times for each activity.

c$.$ Determine the critical path.

d$.$ Determine the length of the project.