A social planner must allocate income between two people, A and B, in a mini-economy. A produces more utility than B from the same income. The utility possibilities set for A and B would be curved, showing greater total utility when more income is given to A. A Rawlsian social welfare function would allocate most income to the worse off (B), while a Utilitarian function would allocate more to A to maximize total utility for both individuals. The two approaches can lead to different allocation outcomes due to their different philosophical views of fairness.