The type of organizational structure that clearly lays down the boundaries of authority and responsibility relationships in the organization is:

(1) Formal Organization

A formal organization structure is characterized by a hierarchical setup where the chain of command, reporting relationships, and division of responsibilities are clearly defined. It outlines the roles, responsibilities, and reporting relationships of each position within the organization, ensuring that everyone understands their specific roles and functions.

This structure helps to establish clear lines of authority, communication, and decision-making processes, contributing to the efficient functioning of the organization.

(2) Functional Structure: A functional structure groups employees based on their specific skills or tasks they perform. While it does outline the roles within different functions, it may not always clearly delineate the overall authority and responsibility relationships in the organization beyond the functional boundaries.

(3) Divisional Structure: A divisional structure is based on the organization's different products, projects, or geographic locations. While it may establish clear boundaries within each division, it might not clearly define the overall authority and responsibility relationships across the entire organization.

(4) Informal Organization: An informal organization refers to the network of social and personal relationships that develop spontaneously within an organization. It is not explicitly designed and therefore doesn't establish formal boundaries of authority and responsibility relationships as the focus is more on social interactions and networks that exist beyond the formal structure.