Final answer:
An underweight resident who is incontinent and has left-sided paralysis is most likely to develop a pressure sore, due to a lack of cushioning, increased skin moisture, and reduced mobility.
Step-by-step explanation:
The resident who is most likely to develop a pressure sore is c. an underweight resident who is incontinent and has left-sided paralysis. This is due to a combination of factors including underweight body habitus leading to less cushioning over bony areas, the caustic nature of incontinence on skin integrity, and immobility due to paralysis. These factors contribute to the development of pressure sores by causing unrelieved pressure, exacerbating skin moisture, and reducing mobility that further limits blood flow to tissues which is necessary for maintaining healthy skin and preventing necrosis (tissue death).