Consider the following scenario from the TV show Star Trek $($aired $1966-1969$ on CBS$).(50$ points$)$

Tribbles are small creatures that exist in the Star Trek universe. On their own, tribbles were quite incapable of directly harming sentient beings $-$

they do not even possess "teeth" as such. They were also fairly slow, although able to scale and cling to vertical surfaces. Nonetheless, left

unchecked, they could rapidly multiply and devastate entire ecosystems on a planetary scale.

An entire half of a tribble's metabolism was solely devoted to reproduction. While not actively malicious or even intelligent, their tranquilizing

effect in humans can cause those who encounter them to be too enamored by their perceived cuteness to be able to properly respond to their

hyper$-$reproduction in a timely manner. Born pregnant, a single tribble with sufficient food could quickly increase its number exponentially

through asexual reproduction, bearing an average litter of ten and producing a new generation every twelve hours. Removed from their home

world, tribbles have no predators and can live indefinitely.

If one tribble is adopted and well fed, how many will there be after three days? $($Assume that none of them die.$)$