Given the following information regarding a project:

Activity Duration Predecessors

a $2$ None

b $3$ None

c $2$ a

d $4$ a$,$ b

e $4$ c

f $3$ c

g $5$ d$,$ e

h $2$ f$,$ g

Which of the following is NOT a path in the network?

a$-$c$-$f$-$h

a$-$c$-$e$-$g$-$h

a$-$d$-$g$-$h

b$-$d$-$g$-$h

b$-$d$-$e$-$h What is the LF for activity h$?$

$7$

$8$

$10$

$13$

$15$