Table schema:
CREATE TABLE table_name_11 (nominated_by_the_taoiseach INTEGER, administrative_panel VARCHAR, industrial_and_commercial_panel VARCHAR)

Question: What is the highest number of nominations by Taoiseach of the composition with an administrative panel greater than 0 and an industrial and commercial panel less than 1?
SQL: SELECT MAX(nominated_by_the_taoiseach) FROM table_name_11 WHERE administrative_panel > 0 AND industrial_and_commercial_panel < 1