Task Budget Duration $($days$)$

Immediate Predecessors Shortest Time Possible Acceleration Cost per day

A $$2002$ None $2$

B $$5005$ A $3$ $$30$

C $$2002$ B $1$ $$15$

D $$4004$ A $4$

E $$3003$ B&D $1$ $$20$

F $$4004$ E&C $2$ $$40$

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.