Final answer:
The dog should be treated with vitamin K1 for 6 weeks to prevent bleeding problems caused by brodifacoum, an anticoagulant rodenticide.
Step-by-step explanation:
The dog should be treated with vitamin K1 for 6 weeks. Brodifacoum is an anticoagulant rodenticide that disrupts blood clotting by inhibiting vitamin K epoxide reductase, an enzyme necessary for the activation of vitamin K. By administering vitamin K1, the dog can replenish its vitamin K levels, allowing for proper blood clotting and preventing potential bleeding problems.
Hospitalization for 24 hours to monitor and treat potential neurologic signs is not necessary as there is no indication of such signs in the question. Additionally, treating the dog with vitamin E and selenium or checking serum calcium levels is not appropriate in this case.