Eat me baby

That's the joke

Well, as for the carrot, you just need to be hungry enough I guess. People don't die from solitude though...

Well, erm, actually... (just skip to the story at the end)
http://stpauls.vxcommunity.com/Issue/Us-Experiment-On-Infants-Withholding-Affection/13213

Actually, there have been studies that show that people die from (not solitude per say) loneliness. And solitude can be a major contributing factor to that.