Final answer:
The incorrect statement about the roles of management is that it attains goals with the most possible input; in reality, management aims to achieve goals with the least possible input.
Step-by-step explanation:
The statement about the roles of management in an organization is incorrect: Management attains goals synergistically and productively with the most possible input. Successful management teams focus on achieving the organization's goals using the least possible resources or input, relying on efficiency and effectiveness. Instead, management should attain goals synergistically and productively with the least possible input. Other roles of management mentioned, such as directing the organization towards its objectives, keeping the organization in equilibrium with its environment, and setting and maintaining balanced operations, are indeed correct roles of management