$105.$ Simplify completely, by means of a K$-$Map, the following Boolean expression:

$F\frac{?}{b}=ar\frac{A}{b}ar(C)+$ABC$+\frac{A}{b}ar(B)C\frac{+}{b}ar(A)BD$

having the following don't care condition:

$x=A\frac{B}{b}ar(C)D$

The resulted "optimal" simplified expression is:

$($a$)\frac{?}{\text{b}\text{a}\text{r}}\frac{A}{b}ar(C)+AC$

$($b$)\frac{?}{\text{b}\text{a}\text{r}}\frac{A}{b}ar(C)\frac{+}{b}ar(A)C$

$($c$)(Ao+C)+BD$

$($d$)(Ao.C)+BD$

$($e$)$ none of the above