Massachusetts Institute of Technology This is to certify that M Bharani Kumaar has successfully completed Microeconomics Issued: June 7, 2021
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: 86be55c2-617d-74cc-3265-7ba4b1f6ea79

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