Reincarnation, Historical, Different World, Romance etc.

A university student suddenly enters a revers harem dating sim (as Penelope Eckhart, Duke Eckharts adopted daughter) at its hardest difficulty, and no matter what she does, death is the only ending.
Penelope must choose one of the male leads, before the “real daughter” of Duke Eckart appears,in order to survive.
Oddly enough, the favourability meters of the male leads increase the more she crosses the line with them... will Penelope be able to have her happy ending?