I have asked the question why nature would have selected sex over asexual reproduction.
You make this sound as if it was an absolute and final decision. There are really only a small proportion of organisms which are obligately sexual and a smaller number that have 2 distinct sexes.
Natural selection will favour different strategies in different environments. While a sexual strategy may be preferable in some circumstances an asexual one may be favoured in others.
In a static population there is usually only one offspring per set of parents survives to adulthood.
What on earth is this supposed to mean? In a sexual population obvioudly one offspring per 'set' of parents would give a rate below replacement and lead not to a static population but to a declining one. An asexual population could be static if every organism only had one offspring but only provided none of the offspring ever died.
Your statement seems to have no connection to any population we might actually find in the real world.
From this initial specious assumption you then build a whole fanciful tower of straw.
The answer that I usually get back, is, "Its too costly."
Could you show where anyone on this site has given you that answer, because it is too vague to be useful. It may be true in certain circumstances but it obviously isn't in all or we would not see the vast umbers of asexually reproducing organisms that we do.
How much easier is binary fission than developing two separate sex organs that has to go through a lot of things just to mate.
You do realise that not all asexually reproducing organisms are unicellular I hope, binary fission is not the only form of asexual reproduction.
TTFN,
WK