$1.$ Consider the following network diagram for a project $($the times shown are in weeks$)$:

$($a$)$ Do a forward$/$backwards pass calculation and provide all four times $($earliest start time, earliest finish time, latest start time, and latest finish time$).$ Identify the slack for each activity and identify the critical path. $(3$ points$)$

$($b$)$ How long will it take to complete this project? $(2$ points$)$

$($c$)$ Can activity D be delayed without delaying the entire project? If so$,$ how many weeks? $(2$ point$)$

$($d$)$ Can activity C be delayed without delaying the entire project? If so$,$ how many weeks? $(2$ point$)$