Final answer:
The quote is spoken by Creon in Sophocles' play Antigone, emphasizing the value of having loyal and obedient sons who will defend and continue the family's legacy.
Step-by-step explanation:
The quote "That's what a man prays for: to produce good sons-- a household of them, dutiful and attentive, so they can pay his enemy back with interest and match the respect their father shows his friend" is said by the character Creon in Sophocles' play Antigone.
Creon is discussing the virtues of having loyal and obedient sons who will uphold the family's honor and support their father's will. The sentiment captures a common theme in classical literature about the importance of family legacy and filial duty, especially in the context of reputation and reciprocity in social relationships.