Compute the utilization for these task sets: $(10)$

a$)$ P$1$: period $=1$ s$,$ execution time $=10$ ms; P$2$: period $=100$ ms$,$ execution time $=10$ ms

b$)$ P$1$: period $=100$ ms$,$ execution time $=25$ ms; P$2$: period $=80$ ms$,$ execution time $=15$

ms; P$3$: period $=40$ ms$,$ execution time $=5$ ms$.$

c$)$ P$1$: period $=10$ ms$,$ execution time $=1$ ms; P$2$: period $=1$ ms$,$ execution time $=0\mathrm{.}2$

ms; P$3$: period $=0\mathrm{.}2$ ms$,$ execution time $=0\mathrm{.}05$ ms