Duality between Utility Maximization and Expenditure Minimization

[@user-yq4ts4hp1x]

U R AMAZING!! Thanks for saving me in consumer theory. And I just realized it was you that saved me in Time Series one year ago with your video on econometrics. Thank you very much. :)

[@scottmccampbell72]

Thanks a lot! I have an exam tomorrow and I got more out of your explanation of Roy's Identity than I did out of six weeks of classes! Well, my classes are in Spanish, so that could also be a problem... But this helped a lot, thanks!!

[@hashbrownpotato9283]

This video is a fantastic explanation, thank you so much!

[@faithtushabe]

you are a great teacher, thank you

[@snowsharonfoo]

Thank you for the explanations!

[@wasenehchebte5400]

U are great

[@shouvikbanik]

Can you please do a numerical example

[@riiajais1833]

Thank u sir

[@siddhantdad908]

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