Which of the following supervise rank-and-file employees and carry out say-to-day activities within departments

Middle managers are the supervisors that carry out the day to day activities within department.

Explanation:

Middle managers work as an intermediate in an hierarchical organisation. Middle managers look after the problems faced by their subordinates and convey the problems to their superiors. Middle managers look after whether the work is properly done or not whether the production is happening in wide range or not. Middle managers also look after the activities that take place within departments. Middle managers guide the people working under the them as well as they try to solve the problems.