Question: Consider v(k), the optimal solution to the optimization problem under constraint : ( x , y ) R 2 ma x f ( x ,

Consider v(k), the optimal solution to the optimization problem under constraint :

(x,y)R2maxf(x,y)

constraint : g(x, y) = k

The problem was solved for k = 0, giving v(0)=18 for a corresponding Lagrange multiplier of =5. Give the first degree Taylor polynomial of v around k = 0.

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