The original LISP machines produced by both LMI and Symbolics were based on research performed at:

Answer: Option B

The original LISP machines produced by both LMI (Lisp Machines, Inc.) and Symbolics were based on research conducted at the Massachusetts Institute of Technology (MIT).
MIT played a significant role in the development of LISP and its associated hardware, leading to the creation of dedicated LISP machines.
Option A: CMU (Carnegie Mellon University) and Option C: Stanford University were not the institutions where the original research for LISP machines was performed.
Option D: RAMD is not a known research institution relevant to the development of LISP machines.
Therefore, the correct choice for the institution where the research for the original LISP machines was conducted is Option B: MIT.