$9\mathrm{.}14($a$,$b$,$c$)(1\mathrm{.}5$ points, $0\mathrm{.}5$ for each subpart$),$

$9\mathrm{.}14$ Referring to the figure shown below, suppose that Activity $O$ was the last activity in the network and

you were about to start a backward pass.

a$.$ What is the project's duration? $($Hint: complete the forward pass$)$

b$.$ What are the late finish $($LF$)$ and late start $($LS$)$ values for activities $L,M,N,$ and $O?$

c$.$ Which activities have slack time? How many days?