The movie highlights personal problems and task-oriented problems and the right problem-solving technique applied to meet jury objectives. To manage ego related conflict, members of the jury remain calm and persuade a member that all members are essential. Juror 3 instigates a harsh environment, continually lashing out on members as he reminds them that he is a busy man.
When juror 1 calls for recess when things heat up in the room, he solved the problem by preventing continuous conflict. Jury members cool down and continue with the meeting after a while. Asking questions for clearance rather than dismissing personal opinions reduces the chances of building up a problem.