Final answer:
The managerial task that involves restructuring work relationships to facilitate cooperative efforts toward organizational goals is Organizing. It ensures clear roles and promotes teamwork, especially in flat organizational structures.
Step-by-step explanation:
The managerial task that involves restructuring work relationships to enhance cooperative efforts toward achieving organizational goals is Organizing. Organizing is crucial in the team-based approach that many modern organizations are adopting. Through organizing, management ensures that employees' roles and responsibilities are defined clearly and that systems for collaboration and teamwork are in place, which is beneficial especially when the organization has a flat structure and relies on teamwork to accomplish tasks. Understanding the organizational structure and one's place within it is also a key to successful integration into a team and the wider organization.