Verified Certificate

Supported by the following organizations

This is to certify that Bernardo Ramos Duque Gaspar Torrejano successfully completed and received a passing grade in 15.763x: Supply Chains for Manufacturing: Capacity Analytics a course of study offered by MITx, an online learning initiative of the Massachusetts Institute of Technology.

Noted by

Stephen Graves

Stephen Graves

Abraham J. Siegel Professor of Management Massachusetts Institute of Technology

Sean Willems

Sean Willems

Haslam Chair in Supply Chain Analytics, Professor of Business Analytics and Statistics University of Tennessee

Sanjay Sarma

Sanjay Sarma

Vice President for Open Learning Massachusetts Institute of Technology

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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.