I know my Like 200i was made in China, I was disappointed at that fact upon purchases as I spent some time in Taiwan a few years back where I first discovered KYMCO, SYM and scooter culture in general. That said my Like has been very reliable so far and seems well built, so despite my affinity for Formosa I really can't complain.
As for the X-Town 300 ABS and the new Like I am unsure of where they are produced, though I know the 400i is currently being produced in Taiwan.
I miss that island, between its natural beauty and traffic laws seemingly designed for two wheels, it really is a scooter heaven.