The first example I thought of is a level where people are drowning, and you need to choose who to save first, or possibly which method to use to try to save them, in order to maximize the total number of people saved.

I do competitive lifeguarding (possibly the world's weirdest recreational activity) and there is actually an event like this, called Priority Assessment or PA. Your team walks in and finds an area of the pool with a bunch of people drowning (for a team of 4 rescuers, usually it's about 12 victims.) The scoresheets are set up so that you get more points for rescuing the victims who are more likely to survive–i.e. non-swimmers and injured swimmers have a much higher point multiplier than unconscious, submerged victims. PA involves a lot of strategy–it's not always the teams of fast swimmers that win, although that helps. There is an optimal strategy, which has to be worked out in advance because it's a two-minute event.