The answers are A and E.

The sentence conveys that Markovits and Rensmann do not fully endorse Gumbrecht’s idealizing vision of the compatibility of college athletics with the intellectual missions of universities. Additionally, they do not regard college athletics as something corrupt or solely motivated by financial gain. The logic involves recognizing their nuanced stance, where they neither fully support Gumbrecht’s vision nor see college athletics as inherently venal. The chosen options, "fully endorse" for Blank (i) and "venal" for Blank (ii), align with this nuanced interpretation of their perspective.

Blank (i):
A. fully endorse: This option implies complete approval or support. In the context of the sentence, it suggests that Markovits and Rensmann do not completely endorse Gumbrecht’s idealizing vision.
B. intentionally recapitulate: Recapitulate means to repeat or summarize. In this context, it would imply that Markovits and Rensmann do not intentionally repeat Gumbrecht’s idealizing vision, which may or may not mean disagreement.
C. entirely misconstrue: To misconstrue is to interpret something incorrectly. This choice suggests that Markovits and Rensmann completely misunderstand Gumbrecht’s idealizing vision.

Blank (ii):
D. indispensable: This term means essential or necessary. In the context of the sentence, it would imply that Markovits and Rensmann do not see college athletics as necessary or essential.
E. venal: Venal refers to being corrupt or motivated by a desire for money. In this context, it suggests that Markovits and Rensmann do not view college athletics as corrupt or motivated solely by financial gain.
F. profitable: This term means yielding profit or financial gain. In the context of the sentence, it would imply that Markovits and Rensmann do not see college athletics as resulting in any financial gain. This does not fit the context.