Task Immediate Predecessor$($s$)$ Duration $($days$)$ A None $2$ B None $4$ C A $8$ D B $1$ E C$,$ D $6$ F D $2$ a$.$ Draw the Network diagram and include the Early Starts $($ES$),$ Early Finishes $($EF$),$ Late Starts $($LS$),$ and Late Finishes $($LF$)(10$ points$)$ b$.$ What is the expected completion time of this project? $(2$ points$)$ c$.$ What is the critical path through this project? $(2$ points$)$ d$.$ How much slack is in Activity C$?$ What does this mean? $(3$ points$)$ e$.$ How much slack is in Activity E$?(2$ points$)$