Amartya Sen's Nobel-prize-winning work on famine is probably the best read here. He points out that the problem is rarely lack of food, but lack of claim on food. People end up unable to afford it, no matter how cheap it might be. "Solutions" which involve heavy capital investment and depend on imported items aren't going to make it cheaper.

It's even possible to end up with situations where food is destroyed because it cannot economically be sold, while people are also starving. This is not about food but about power.