$60$ points$)$ Deferrable server. For the following set of implicit$-$deadline periodic tasks with

a deferrable server $($TDS$)$:

Task $($Ti$)$ Period $($pi $)$ Execution Time $($ei $)$

T$181$

T$261$

T$391$

T DS $51$

a$)$ Assume Rate Monotonic method is employed, check the schedulability.

b$)$ Assume the Earliest Deadline First is employed, check the schedulability.

If there are $3$ aperiodic jobs:

released at $2,8$ and $12$

exec time $2,1$ and $2$

c$)$ Construct a preemptive Rate Monotonic schedule and present your schedule using a

Gantt chart $(24$ unit of time$).$