MITx 2.854.1x Certificate

This is to certify that Mariana Sibaja Sánchez successfully completed and received a passing grade in 2.854.1x: Manufacturing Systems I a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Stanley B. Gershwin

Senior Research Scientist Massachusetts Institute of Technology

Brian Anthony

Principal Research Scientist Department of Mechanical Engineering Massachusetts Institute of Technology

Dimitris Bertsimas

Vice Provost for Open Learning Massachusetts Institute of Technology

Chris Capozzola

Senior Associate Dean for Open Learning; Professor of History Massachusetts Institute of Technology

Verified Certificate Issued July 17, 2025
Valid Certificate ID 8f074c3000b745db9df4c362845fc51a

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