The Dupont Family though represented as a single entity, they are more than one(plural).
The singular verb is enjoys and the plural verb is enjoy. The plural verb goes in the sentence as it aligns with the plurality of the Dupont family.
Another example is:
The Dupont family began/begin to save.
The appropriate verb is began which is a plural verb. This example validates the previous example of ‘The DuPont family aligning with a plural verb due to its plurality also.
