Problem:
Competition for access to corn crops coming from grain, animal feed, and biofuel industries is boosting prices.

Solution:
Prioritize. Number one should be grain for human consumption. Number two should be transportation, and that should be made more efficient in every way possible, from increasing public transit routes to improving fuel efficiency in all types of vehicles, industrial, and heating systems.
Number three should be grain to animal feed. You know, we don't NEED animal protein at every meal... We can get lots of protein from soy products and even genetically modified sweet potatoes that NASA has been developing as a sustainable space food. Meat is a luxury in poor countries. We need to start eating like peasants, not like kings.

This is very much a mess of our own making.