Final answer:
Financially responsible nurse management is the practice observed in a nursing unit where staff replacements for illness are limited due to budget constraints, and the unit manager emphasizes the need to control the costs of care.
Step-by-step explanation:
The practice observed in a nursing unit where staff replacements for illness are limited due to budget constraints and the unit manager emphasizes the need to control the costs of care is called financially responsible nurse management.
In this scenario, the unit manager prioritizes cost control and limits the number of staff replacements due to budget constraints. This approach helps in managing the expenses of providing care while still meeting the needs of the patients.
By practicing financially responsible nurse management, the nursing unit aims to maintain adequate staffing levels while balancing the financial resources available.