Lagrangian

Author:
Peter J.C. Dickinson
f(x) = x, g(x) = 2-x, L(x,y) = x+y(2-x).
GeoGebra Applet
For x<2 we have sup_y{ L(x,y) : y>=0 } = infinity, For x>=2 we have sup_y{ L(x,y) : y>=0 } = x.

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