My thoughts are that I want to talk to her about this. I feel that even if she does stay at her Dad's that she should spend some time at my home. Many divorced parents share custody, in my current order I am the primary care giver but the ex has shared custody with me. Up until a month ago he never had the kids for any length of time, never had them weekends, or in the summer. I have always had them. I still want to be in her life but while she is at her Dad's I rarely see her

I am responding to this point alone, on daughter's development and well-being plus the daughter-mother relationship:

You need to have a friendly dialogue with daughter. It is not clear at this time and probably not to your daughter(?) what she wants in terms of her primary residence --yours or your ex's house. Or if it should be 50% time at your place.

I suspect your daughter's gut feeling that she knows in her heart, to live with you means she must follow-through to become accountable for what she does/does not do (school, etc.) but she gets to live in a more sane environment with her mom who is also a very important, positive adult female mentor to her development. The latter alone is a powerful reason why I hope your daughter will live with you at least part-time. She needs to find herself...in a sane, supportive environment.

Will your ex provide her all the food and money for her to buy her own clothing, necessities if she does not work?

This is tough, because in dialogue with your daughter, you do not want to be perceived as someone in some sort of tussle with ex, where daughter feels like a pawn in a power struggle between 2 parents.
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