Given the following tasks for a project with their durations $($in days$)$ and

dependencies, calculate the earliest start $($ES$),$ earliest finish $($EF$),$ latest start

$($LS$),$ latest finish $($LF$),$ and float $($slack$)$ for each task:

Task Duration $($days$)$ Dependencies

A $5$ None

B $7$ A

C $3$ A

D $6$ B$,$ C

E $4$ B

F $2$ D$,$ E

$$ Calculate ES$,$ EF$,$ LS$,$ LF$,$ and float for each task.

$$ Identify the critical path$($s$)$ for the project.