Answer
Design A is favored over all other designs using a head-to-head comparison, but it is not selected as the winner using the Borda count method. Therefore, the head-to-head criterion is not satisfied.
Work Step by Step
Design A has 1500 first-place votes, which is more than half the votes. Therefore, Design A has a majority of first-place votes.
Since Design A has a majority of first-place votes, Design A is favored over all other designs when we compare them head-to-head.
However, using the Borda count method, Design B is selected as the winning design.
Design A is favored over all other designs using a head-to-head comparison, but it is not selected as the winner using the Borda count method. Therefore, the head-to-head criterion is not satisfied.