Final answer:
The patient's metformin dosage was increased to better manage their steroid-induced DM, improving blood sugar control and minimizing dependency on insulin.
Step-by-step explanation:
The reason for increasing the patient's metformin dosage is to manage the patient's steroid-induced diabetes mellitus (DM). Metformin is a medication commonly prescribed to treat type 2 diabetes by improving blood sugar control and reducing insulin resistance. In this scenario, the patient developed steroid-induced DM which is a form of diabetes that occurs due to prolonged use of corticosteroids. As corticosteroids are known to raise blood sugar levels, managing the raised sugar levels with metformin is a sensible approach to avoid further complications. While the patient is on a temporary insulin regimen to get blood glucose levels under quick control, metformin can provide longer-term management of their diabetes.