Mission: The mission of The University of Texas at Austin is to achieve excellence in the interrelated areas of undergraduate education, graduate education, research and public service. The university provides superior and comprehensive educational opportunities at the baccalaureate through doctoral and special professional educational levels.
The university contributes to the advancement of society through research, creative activity, scholarly inquiry and the development and dissemination of new knowledge, including the commercialization of University discoveries. The university preserves and promotes the arts, benefits the state’s economy, serves the citizens through public programs and provides other public service.
The responsibility you mention is delegated down to the next level.
The most obvious example is internal budget allocation, which can make or break entire programs.
"President Hatch's compensation over the course of his tenure reflects his exceptional leadership," trustee chair Donna Boswell said. The school has raised nearly $800 million under Hatch, she said.