Two small objects, with masses m and M$,$ are originally a distance rapart, and the magnitude of the gravitational force on each one is F$.$ The masses are changed to $2$m and $2$M$,$ and the distance is changed to $4$r$.$ What is the magnitude of the new gravitational force?

$11$

$14$

$16$F

$$F$/2$

$$F$14$

F$/16$

$18$

$4$F