does a very high GDP per capita indicate a favorable balance of payments?
......not necessarily, right??
no, it doesn't necessarily,
because if theres alot of output produced in the country, there might also be other factors such as the country consumes all the output and not much left to export,
however, under the other conditions they have given you,
like if everything else is constant, then you can safely say that a high GDP per capita leads to a favourable balance of payments as more is exported.
you can also think about the fact that, even if a lot if produced within an economy, more might be imported from other economies, and if that import is greater than that export they are worse off producing,
the GDP per capita doesnt take into account imports
hope that helps.