What type of appeal is indicated by asserting that "your son would do well to enroll here at Harvard?"

The assertion that "your son would do well to enroll here at Harvard" hinges on the notion of prestige associated with the Harvard name. This statement appeals to the status and respectability of Harvard as a renowned institution. The implication is that attending Harvard is not only beneficial for personal educational growth but also enhances one's social standing due to the prestigious reputation of the university.

This appeal effectively taps into the value placed on elite educational institutions by suggesting that enrollment at Harvard itself is a hallmark of success and a desirable achievement. By linking the son’s potential success to the prestige of Harvard, the statement encourages a sense of aspiration and admiration associated with being part of such a prestigious academic community.