A hospital plans to implement an AI-powered system to diagnose diseases, recommend treatments, and prioritise patients based on medical urgency and available resources. One day, the system must decide between two patients competing for the last available ICU bed: a critically ill patient from a low-income family requiring immediate treatment and a wealthy patient with a less urgent condition who is willing to pay significantly more for priority access. Hospital management argues that prioritising the wealthy patient could generate additional revenue to improve hospital services.

Critically discuss the technical feasibility, ethical implications, and societal impact of implementing such an AI system. How should the system prioritise patients, and who should be accountable for its decisions? Support your arguments using the CLAIM structure.