(Figure: Coats and Sweaters I) Which of the following statements is FALSE?

I. At point A, the consumer is willing to give up three winter coats for one wool sweater.
II) At point B, the consumer is willing to give up one winter coat for four wool sweaters.
III) At point A, the consumer is willing to give up three wool sweaters for one winter coat.
IV) At point B, the consumer is willing to give up four wool sweaters for one winter coat.