There is this popular coffee cup cooling problem: assume you want to keep your morning cup of coffee hot for as long as possible. When do you add your milk? Imm

There is this popular coffee cup cooling problem: assume you want to keep your morning cup of coffee hot for as long as possible. When do you add your milk? Immediately or later? I am overengineering a simulation-based solution to this because I think there are scenarios based on cup shapes and environmental temperatures that allow either answer to be true. This will end up as a blog post I guess.