Verified Certificate

Supported by the following organizations

This is to certify that Vinay Vibhakar Karulkar successfully completed and received a passing grade in ES101x: Introduction to Managerial Economics a course of study offered by IIMBx, an online learning initiative of Indian Institute of Management Bangalore.

Noted by

Subhashish Gupta

Subhashish Gupta

Associate Professor, Economics and Social Sciences Indian Institute of Management Bangalore

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