Final answer:
The correct answer is 'a. Forefront,' indicating that the administrator should keep the nursing home at the leading edge of modern care standards and practices, ensuring the highest quality of care for residents.
Step-by-step explanation:
The administrator should keep his facility on the forefront of modern-day nursing home care. The word 'forefront' implies being in a leading position or at the cutting edge, which is usually desired in the context of healthcare and nursing homes where up-to-date practices and technologies are important for providing the best care. The options 'periphery' and 'backlog' suggest a position of less importance and urgency, which wouldn't be fitting, and 'median' implies something average, rather than leading.
Therefore, the correct answer is a. Forefront. It indicates that the nursing home is near the top when it comes to modern care standards and practices, which is essential for providing high-quality care to residents.