Whoever becomes the Detroit Symphony’s next executive director will have a lot of work to do. Not only is the orchestra searching for a new music director, “the DSO has run operating losses of about $3 million the last three years, including a $1.8-million shortfall in 2003, its largest deficit in more than a decade. A $1-million transfer from its endowment two years ago leaves the accumulated deficit at $2.2 million.”