Final answer:
Filgrastim is the cytokine medication administered to treat chemotherapy-induced neutropenia by stimulating the production of neutrophils.
Step-by-step explanation:
The cytokine medication that is administered to treat chemotherapy-induced neutropenia is Filgrastim. Filgrastim is a synthetic form of granulocyte colony-stimulating factor (G-CSF), which stimulates the production of neutrophils, a type of white blood cell. By administering Filgrastim, the healthcare team can revive the white blood cell counts in patients undergoing chemotherapy.