Final answer:
The care delivery model described is called modular nursing, which assigns specific sets of rooms to RNs and assistive personnel to improve efficiency and accountability.
Step-by-step explanation:
The care delivery model used in the situation where an RN makes patient care assignments by assigning certain rooms to specific RNs, with unlicensed assistive personnel also having designated sets of rooms, is known as modular nursing. This model divides the patient care units into modules, with each module being cared for by a team of nurses and other healthcare workers. In this case, RN1 is assigned rooms 200-210, RN2 rooms 211-221, and RN3 rooms 222-232, while the assistive personnel are split between rooms 200-215 and 216-232 respectively. Modular nursing aims to improve efficiency and accountability by having a designated team work together in a specific area.