Verified Certificate

Supported by the following organizations

This is to certify that Carlos Raya Roa successfully completed and received a passing grade in QPLS3x: Lean Production a course of study offered by TUMx, an online learning initiative of Technical University of Munich.

Noted by

Martin Grunow

Martin Grunow

Professor of Production and Supply Chain Management Technische Universität München

Holly Ott

Holly Ott

Professor of Operations Management Hochschule der Bayerischen Wirtschaft Senior Lecturer Technische Universität München

About edX

edX offers interactive online classes and MOOCs from the world’s best universities, including MIT, Harvard, Berkeley, University of Texas, and many others. edX is a mission driven initiative created by founding partners Harvard and MIT.

About edX Verified Certificates

An edX Verified Certificate signifies that the learner has agreed to abide by the edX honor code and completed all of the required tasks of this course under its guidelines, as well as having their photo ID checked to verify their identity.