Hey jjwumaster and Vannbj:
I was about to go to bed until I read this post. It was too interesting to pass up as I was in a similar situation before business school. Having worked with hundreds of applicants over the past 8 years, I want you to know that I am also speaking from a larger data set than my own humble (and humbling) experience.
Withdrawls will not affect your candidacy drastically provided these caveats:
They occured earlier in the your academic career. Specifically, within your first 2 years. As evidence, I offer to you the fact that some b-schools will allow you to list your first 2 years GPA and your last 2 years. Additionally, they will place a higher emphasis on your GPA within your major.
Additionally, the longer you are out of U/G, the less weighted your grades are and the more your professional experience plays a greater role.
It sounds as if you dropped these non-major classes early. This is good news. Additionally, if these classes were non-quant, that is even better. However, since you do have a non-quant major you want to make sure that any quant classes you did finish, you did well in. BTW, if you did not have a lot of quant classes the adcom will look to the quant portion of your GMAT to discern your quant abilities.
So it is a slightly complicated equation. I hope I was able to help provide some binary input as I like to reserve the "it depends" answers for economists.
As always, if you would like to speak over the phone about this, I am always available for good and well thought out questions such as this. Please let me know if this is something you would be interested in.
Respectfully,
Paul Lanzillotti