Final answer:
The organizational form that represents a pure project organization overlaid on the functional divisions of the parent firm is a matrix organization. It allows employees to report to both functional and project managers, combining departamental efficiency with project responsiveness.
Step-by-step explanation:
The matrix organizational form is a pure project organization overlaid on the functional divisions of the parent firm. In a matrix organization, employees have dual reporting relationships - generally to both a functional manager and a project manager. This structure combines the efficiency of functional departments with the responsiveness and flexibility of project teams. For example, a software developer may report to a functional manager in the IT department, as well as a project manager for the development of a new software application. The matrix structure allows for efficient resource utilization and can enhance communication and cooperation across departments, but it can also lead to confusion and conflicts due to dual authorities.