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

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

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

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

$($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.