premise: Seven job applicants—Feng, Garcia, Herrera, Ilias, Weiss, Xavier, and Yates—are hired to fill seven new positions at Chroma, Inc. One position is in the management department, three are in the production department, and three are in the sales department. The following conditions must apply: Herrera is hired for a position in the same department as Yates. Feng is hired for a position in a different department from Garcia. If Xavier is hired for a sales position, then Weiss is hired for a production position. Feng is hired for a production position. If Xavier is not hired for one of the production positions, then which one of the following could be true?
hypothesis: Feng and Yates are both hired for production positions.