Final answer:
The patient goal that would indicate improvement in this case is a weight gain of 1 kg in 1 week.
Step-by-step explanation:
The patient goal that would indicate improvement in this case is a weight gain of 1 kg in 1 week. This weight gain would suggest that the patient's nutritional intake has improved, which is important in managing the effects of oral cancer. Administering tube feeding at 25 mL/hr (option b) is simply a method of providing enteral feedings and does not directly indicate improvement in the patient's condition.