John runs the sociology department at a major university, and 14 faculty members teach in his department. john believes that all faculty members understand their function at the school, so he does not interfere with their day-to-day work. john views the faculty members as professionals who understand how best to do their jobs. when a conflict arises with a student or another faculty member, john will sit in on a meeting only if specifically invited, and he rarely offers his opinion or tells the faculty how to resolve the issue. john exhibits a(n) style of leadership

laissez-faire

Explanation:

laissez-faire leadership refers to a form of leaderships that  allow the members to make their own decision based on the delegation that granted by the leaders.

When experiencing problems, this type of leaders expect the group members to be able to think on their feet and work with another to solve it without having to micromanaging everything.  Despite the freedom that held by the members, research show that this type of leadership tend to have the lowest amount of productivity compared to other style of leadership.

c. wright mills's sociological imagination suggest investigating to explain this increase?