a$.(4$ Points$)$ Identify the critical path by forward and backward paths. For the tasks that are not on the critical path, identify their slacks.

$\backslash$table$[[$Task$,$Budget,$\backslash$table$[[$Duration$],[($days$)]],\backslash$table$[[$Immediate$],[$Predecessors$]],\backslash$table$[[$Shortest Time$],[$Possible$]],\backslash$table$[[$Acceleration$],[$Cost per day$]]],[$A$,$$$200,2,$None,$2,],[$B$,$$$500,5,$A$,3,$$$30$