I'm all for giving kids more open-ended problems so that they get a chance to think and explore, but this one is ridiculous. They each sell one chicken for $35 in the morning and give the rest away in the afternoon is a valid solution and yet utterly, utterly wrong since the odds of something like that happening in real life are basically nil.
If you're going to give kids an under-constrained problem like this at least make the solution a line rather than a surface so that way you're only screwing with their heads some instead of a lot.