My understanding of ‘Utility Monster’ is someone who gets increasing utility per resource unit when greater resources are spent (greater than linear return). For example it would get utility of 1x when getting one cupcake, and utility of >2x when getting 2 cupcakes.
If such a monster existed, you would increase the average utility by giving ALL of everyone’s resources to it.
A child may get more enjoyment from the same amount of resource than an adult in some situations, but you don’t raise the average utility by giving the entire cupcake to just one of your 2 children.
Could this be a trick question?
The top of the paper says “1d12” or “2d6“, right? The first number is either “1” or “2”. If this interpretation is correct, then knowing the first number has a value of 500 pounds.
As has already been stated, you have a 50% chance of guessing correctly to win 1000, so you already have an expected value of 500. To raise that to 100%, you should be willing to pay 500.