It will take a bit more engineering than some optimistic sign-flipping to bring it down to $50 retail (~$10 BOM).
> In my case, the BOM was close to €2500, so be prepared for that.
EDIT: someone pointed out that there are actually some designs available on AliExpress, e.g. https://a.aliexpress.com/_EzMRNIv €250 for one axis (edge) and €500 for a 3-axis (single point).