Final answer:
Transactional and transformational leadership styles involve assigning tasks to Marines, but it is the transformational approach that more significantly promotes mutual respect and confidence by focusing on the personal growth of the subordinates and inspirational motivation.
Step-by-step explanation:
The leadership style that involves assigning tasks to subordinates in order to accomplish a mission and promote mutual confidence and respect can often be described as a transactional or transformational leadership style. In a transactional approach, leaders assign tasks, set clear goals, and expect subordinates to follow through, with rewards contingent on performance. Transformational leadership, by contrast, is characterized by the capability of the leader to inspire and motivate subordinates to not only fulfill task assignments but also to exceed expectations and develop personally and professionally. This latter style tends to promote mutual respect and confidence more intensely by considering the personal growth of team members.
Transactional leadership focuses on exchanges between the leader and the subordinate, ensuring that roles and expectations are clear and that there is a straightforward rewards system for task completion. Transformational leadership is broader; it incorporates elements such as inspirational motivation, intellectual stimulation, and individualized consideration, which can result in deeper mutual respect and trust between the leader and subordinates.