Without triangulation if you use min 80x80x3. Otherwise as others said.

Forget about "wood" and a "machine" in one sentence, "machine" and "steel" go better.

You constantly use the word "cheap" but i wonder how much you would charge for a custom kitchen and so in Germany? As i know what we charge here Germans in Spain and they find it relatively cheap. Forget that word, make the machine and start making money.