Final answer:
The greatest issue faced by the president and executive branch is managing conflicting interests, dealing with the complexity of the executive branch, and navigating political dynamics.
Step-by-step explanation:
The greatest issue faced by the president and executive branch in carrying out their duties is the challenge of managing the various interests and priorities within the executive office and ensuring that their staff members are aligned with their goals. The president may appoint officials to positions, but these individuals may have different priorities or be influenced by interest groups.
Another major issue is the complexity and size of the executive branch. Over time, the growth of federal bureaucracy has led to the existence of numerous departments, government agencies, and subunits. Managing such a large and diverse bureaucracy presents challenges in terms of coordination and efficiency.
Finally, presidents also face high expectations from the public and must navigate political dynamics to achieve their goals. They may have to work with a divided or hostile Congress, which can hinder their ability to implement their agenda.