Final answer:
The Chief of Operations typically has the discretion to transfer members within a department across divisions or units. This role is distinct from other positions like the shift officer, battalion chief, or city manager. Additionally, under the mayor-council system, legislative and executive responsibilities are separated.
Step-by-step explanation:
The individual who has the discretion to transfer members within the department from division to division or unit to unit within various divisions is often the Chief of Operations. This role is typically responsible for the day-to-day functioning of the department, including the movement and allocation of personnel as necessary to meet the department's needs.
In comparison to the answer choices provided, the Chief of Operations is more likely to have this responsibility than a shift officer, battalion chief, or city manager - though these roles may have various other responsibilities within an organization or municipal government.
Concerning the provided reference information, under the mayor-council system, the legislative and executive responsibilities are separated (Option A). The mayor is typically in charge of the executive branch, while the city council is responsible for legislative functions. This separation is analogous in some ways to the federal system, where there is a separation of powers among different branches of government.