Massachusetts Institute of Technology This is to certify that Joe Marie A. Valcarcel has successfully completed Microeconomics Issued: Sept. 11, 2024
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: f7c6e69a-20cf-457a-b030-d027b9a3ba33

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