Massachusetts Institute of Technology This is to certify that charuverma has successfully completed Microeconomics Issued: Sept. 26, 2023
Chris Capozzola

Senior Associate Dean for Open Learning

Professor of History

Massachusetts Institute of Technology

Eric Grimson

Vice President for Open Learning

Massachusetts Institute of Technology

Valid Certificate ID: 1c1535c9-2647-46fb-b22e-03d4c256c847

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