Main Points
In reality all things have contraints, for example, there is a limit to the amount of money available to build a public transportation system. A maximum value under constraint occurs when the constraint is tangent to a function's contour at a point p. This could also occur at the endpoint of the constraint. The Lagrange Multiplier is like the marginal value in production. ie the change in production levels due to a unit increase in constraint.
Challenges
I do not follow how exactly the Lagrangian Function works. I think all the symbols confuse me.
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