Final answer:
Mannitol is the drug most effective for treating cerebral edema and increased intracranial pressure, as it's an osmotic diuretic that helps reduce pressure in the brain.
Step-by-step explanation:
The drug most effective for the treatment of cerebral edema and increased intracranial pressure is c) Mannitol. Mannitol is a type of osmotic diuretic, which means it works by increasing the amount of urine produced, thereby reducing the pressure in the brain. Unlike acetaminophen, which is used for pain relief, and morphine, which is used for pain and could potentially increase intracranial pressure, mannitol directly reduces cerebral edema. Antibiotics are used to treat infections and would not be effective in reducing intracranial pressure unless the cause is an infection such as meningitis.