A method of printing on a mixed sequence of media sheets uses a printer with a print head that is adjustable in height relative to a print surface that supports the media sheets. The media sheets differ in their specifications that define an admissible range for the height of the print head. The method includes the steps of retrieving admissible height ranges for a plurality of media sheets that are scheduled for printing, searching for a height value that is contained in the admissible range of all scheduled sheets, if such a height value is found, adjusting the print head to that height value, and if such height value is not found, proceeding to a problem handling routine.