Problem $1$: Scheduling $(40$ points$)$

Consider three tasks to be executed periodically on a single processor:

$$ Task T$1$: execution time $=1$ms$,$ period $=4$ms

$$ Task T$2$: execution time $=2$ms$,$ period $=8$ms

$$ Task T$3$: execution time $=3$ms$,$ period $=16$ms

$($a$)$ Is this task set schedulable by a cyclic scheduler? If so$,$ please draw the schedule. If

not, please explain the reason.

$($b$)$ Is this task set schedulable using rate monotonic scheduling? Please explain the

reasoning for your answer, whether it is yes or no$.$ You do not need to draw the

schedule for this question