Massachusetts Institute of Technology This is to certify that LakshmiRamanathan 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: f61a69ef-a88f-43e1-bc02-875a872b4f55

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