Thanks for posting, and congrats on your GMAT score improvement as that will certainly help. However I would say at present your profile/work experience could sound a bit lacking, in that it's relatively short (average is 5 years) and does not have evidence of leadership or management experience or potential. Certainly as you said that is your aim to move more into management, but you'll also want to ensure you make a case for why you should do it so soon/early in your career (the MBA), and/or how the MBA degree will help that as opposed to gaining more experience in your company first. Generally though I would think you could have a shot at a school outside the top 25 (see US News ranking, or not sure if you're considering programs around the world). Yes it is getting quite late though and the majority of the places have been filled at many programs. So your better option may be to apply R1 in fall for following year, and continue to work on ways you can show leadership, teamwork, make an impact at work, go above and beyond your responsibilities, etc. Good luck to you!
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