Putting food on siblings plate and lying

I am at witts end and I have been awake for MAYBE an hour. MAYBE.My 4 year old is....I just cant with her.I give her a banana this morning "i don't want it mom"You need to eat more fruit. Eat it. If you don't eat it, you get nothing else.Whine bitch moan cry for 25 minutes until i lose my shit and yell at her that she either eats it or goes in time out. We cannot waste food right now, we barely have any, and I cant be feeding her every hour either (which is what happens when she takes tiny little bites of everything)So i tell her she has 10 more minutes, and she either eats it, or she gets a present taken away.5 seconds later "Okay mom, I'm done""Done....you just had an ENTIRE banana"Look over, and she has snatched her 3 year old sisters empty peels, and placed her full, entire banana in its place. She JUST got her hand smacked last night over this.....SO I LOST MY SHIT.Screamed/swatted her hand/put her to bed.She continuously puts her food on her sisters plate and lies to my face about it. I have to ask her sister "Did she put food on your plate?" Before she will fess up. Like I cant tell. Like i never pay attention to their plates. I know who had what. I am not stupid.WTF do I do?! via /r/Parenting http://ift.tt/2hp7Gh1