I think it would be, The First one, Yearn Because yearn is used in present tense as the word durning can be, while yearned and did yearn is past tense, and will yearn is something to be done in the future. The sentence seems like it is set in the present so, Yearn would be my best bet :)
In creating an audience profile, you will be able to see the social and economic characteristics of your audience, that will allow you to identify your target audience.