You can choose both. The AP courses were nice, and 11 years later I'm making my living running the business.
Business is just one thing you could do in the time not spent on advanced courses. It's nice to have the option but it also pressures students towards more curricular learning as opposed to self-motivated learning. For example you could spend 3 hours a day making iPhone apps, or spend that 3 hours studying. Chances are unless you become famous for your iPhone apps, those 3 hours acing your courses will seem more advantageous if you're college-oriented.
You'd be lucky if you're so well as off academically as to have free time and still ace courses.