I personally think you should wait for a few years and not jump for the accelerated option. Heres why:
1) Work experience: After graduating from your BA, you'll be able to enter the work force and get a better understand of who you are as a person, your likes/dislikes and interests. You'll look at the people around you, talk to your friends, managers etc and start generating an idea of what professions you like and which direction you want to take your career in.
2) Work experience: Having 3-4 years of W.E. will also help with your applications post-MBA. Employers (consulting giants, banks etc) will want to know what you've achieved and it becomes a lot easier to sell yourself when you've got tangible results from past employers
3) Prestige: This may or may not be important to you but an MBA from Wharton is definitely going to have more brand value than one from Drexel. And not just the brand, you'll probably get more out of the experience at Wharton, than at Drexel, as well.
In summary, its great that you're thinking about your career and future but I think you should definitely get 3-4 years of W.E. and then apply to the top tier schools. In the mean time, you should focus on building your credentials. Hope this helps!
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