Final answer:
The new division head's leadership style aligns with an authoritarian approach on the Managerial Grid, focusing on productivity with little regard for employees' feelings. From McGregor's Theory X and Theory Y, the new head is operating under Theory X assumptions, treating employees as inherently lazy and needing strict control and punishment to ensure productivity.
Step-by-step explanation:
The leadership style of the new division head can be identified using the Managerial Grid. This grid assesses leadership style based on a leader's concern for people vs. their concern for production. The division head's style seems to be high on concern for production and low on concern for people, which aligns with a task-oriented, or authoritarian, leadership style. Occasional informal gatherings are no longer permitted, and productivity is greatly emphasized over employees' feelings, matching characteristics of an authoritarian approach.
From the perspective of McGregor's Theory X and Theory Y, it appears that the new head assumes a Theory X approach towards management, believing that employees are inherently lazy and require strict supervision, control, and a system of punishments to ensure productivity. This is evidenced by the division head's military-like operation procedures and the threat of 'the axe will fall on several heads' if subordinates do not improve their performance.