Answer: Joan Keats is the author, and Dana Gioia is the editor.
Explanation:
In any MLA format citation, the authors name—which is John Keats in this case—always go first in the citation. Following the name of the article ("On First Looking into Chapman's Homer") and the title of collection (100 Great Poets of the English Language), appears the words "edited by Dana Gioia", which indicates that Dana Gioia is indeed the editor. This fulfills all the criteria stated in option one, "Joan Keats is the author, and Dana Gioia is the editor."
