Like
@jim mcnamara said, its complicated.
Besides there being a metabolic pathway requiring the proper expression of several genes to produce of a final observed trait, like eye color, there are additional tricks in the genome.
Gene doublings can
result in an increase in their combined output.
1) Like you suggested there can be
multiple copies of a particular gene on a chromosome. This is not uncommon and can be found in well studied genomes like fruit flies. They are often in a series pointing (start transcription to end transcription) the same way and thought to be due to accidents of DNA replication or repair mechanisms. Eventually the different copies may evolve to different versions of the gene with slightly different functions, but not always. Mechanisms can use neighboring genes to replace variants that might arise, keeping them identical.
2) Additional copies of genes can also be produced on other chromosomes. They might be made by a virus or transposon acquiring a gene sequence from one place and plopping it down at a location on another chromosome. Alternatively, a piece of chromosome containing the gene could be duplicated on a different chromosome as a result of a breakpoint mutation (break in a chromosome followed by a aberrant repair). They are more likely to diverge in sequence since they are not next to each other.
3)
Whole genomes can be duplicated resulting in additional copies of everything. This might result from the hybridization between related species or some other mechanism. The mammalian genome shows evidence of two genome doublings. Sturgeons have many genome doublings. Xenopus frogs have underwent a doubling a while ago (making them tetraploid), but as time passed many of the duplicated genes have evolved differences (diverged) so that now the species is considered pseudotetraploid.
Neofunctionalization (also in
here)
Sequences of the duplicated genes might diverge apart, become eliminated or inactivated, depending on what selection preserves or doesn't. The duplicated genes can relatively rapidly evolve a separate function in one copy (because the basic structure of the gene is already made and working) and retain the original function in another. Since so much genetic information is duplicated, these kinds of changes are thought to open up a lot of evolutionary potential.