Template-Type: ReDIF-Paper 1.0 Author-Name: Brinkhuis, J. Author-Name-Last: Brinkhuis Author-Name-First: Jan Author-Name: Protassov, V. Author-Name-Last: Protassov Author-Name-First: Vladimir Title: A new proof of the Lagrange multiplier rule Abstract: We present an elementary self-contained proof for the Lagrange multiplier rule. It does not refer to any substantial preparations and it is only based on the observation that a certain limit is positive. At the end of this note, the power of the Lagrange multiplier rule is analyzed. Length: 4 Creation-Date: 2015-12-02 File-URL: https://repub.eur.nl/pub/79540/EI2015-39.pdf File-Format: application/pdf Series: RePEc:ems:eureir Number: EI2015-39 Keywords: Lagrange multiplier rule, penalty function Handle: RePEc:ems:eureir:79540