Culinary Arts college questions?

I'm looking at colleges, and I've got it narrowed down to two colleges. The Arts Institute of Indianapolis, and the Indianapolis Chef's Academy. At the Arts Institute, tuition for the CULINARY MANAGEMENT Bachelor of Science degree is $92,352.00. That is one course. It includes ALL Culinary Arts courses. At the Indianapolis Chef's Academy, tuition for the CULINARY ARTS Associate of Applied Science Degree is $38,100.00, and the HOSPITALITY AND RESTAURANT MANAGEMENT Bachelor of Science degree is $56,000, for a total of $94,000.00. My biggest question is, can I get a position of Sous Chef, Head Chef, or even Executive Chef and a highly respectable restaurant with ONLY the CULINARY ARTS Associate of Applied Science Degree? Or would I have to take the Management course along with it? Or, would it be a better choice just to get the CULINARY MANAGEMENT Bachelor if Science degree at the Arts Institute? The reason I ask, my parents and I were talking about different degrees, and that an associate's degree won't do much for me. Would it in this case if I took the Arts course at the Chef's Academy?