MakerBot Print is our newest print-prepration software, which supports native CAD files and STL assemblies,
allows you to interact with all your printers via the Cloud, and many other exciting new features.
The model is optimized for 0.15 layer height.
My guess is that you are missing a layer of the support, and as a result the distance between the hinge and the support is too high.
You may try to print it at 00.4 layer height, but it will probably take forever to print...