>>feed them
The cost/benefit is minuscule (i.e. small numerator, huge denominator). Social justice aside, the follow-on effects of feeding people, and especially long-term food security are huge in terms of long-term productivity, demographics (populations ultimately tend to decline as they get wealthier), political stability and so on.
The costs are potentially small. The problem is logistics.
I didn't know if there was actually enough food in the world to feed everyone.
The HuffPost article mentions the main problem is people who live on less than $2/day and can't afford food
I don't want to sound facile, but bear with me a second for a mental exercise to get a grip on the scope of the problem. There are 2.7 billion people living on less than two dollars per day.
http://www.unmillenniumproject.org/resources/fastfacts_e.htmIf we just take the "old" developed world - US, Canada, Western Europe, Japan, Australia - there are about a billion "rich" people there. If you figure the average it would take to bring that 2.7b up to $2/day is $1, it means that for $2.70 each, we could eradicate the worst of that poverty.
I know that is ridiculously simplistic (and the page I linked to is mostly about how limited it is to look at it in the terms I just did), but I only say it that way to point out that we don't have 2.7b people living on less than $2/day because there isn't enough money in the world and they aren't starving because there isn't enough food in the world.
>>because it won't look right on the shop shelves
Food waste is a huge problem, but it is not just in rich countries. It is estimated that almost half of the food in the developing world is lost post-harvest and a large portion of that is due to the lack of cold storage. I've been seeing more and more buzz about solar-powered cold storage. Just had a good article cross my feed yesterday, but I can't find it, but these give an idea
http://www.christianpost.com/news/christian-ceo-of-aldelano-corporation-to-unveil-solar-coldbox-that-could-be-answer-to-global-food-and-water-crisis-145572/http://www.coldhubs.com/http://www.reviewjournal.com/business/entrepreneur-pitches-solar-powered-cold-storage-system