minimize  y12 + y22 + y32 subject to y1 + 2y2 + 3y3 ≥4 y3 ≤ 1 a)Ensuring that the constraints are in proper form, what is the standardised formulation for the minimization problem b)Make a formulation of the Lagrangian function of the primal problem. c)What is the KKT conditions? Where KKT=Karush-Kuhn-Tucker.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Considering the problem 
minimize 
y12 + y22 + y32

subject to

y1 + 2y2 + 3y3 ≥4

y3 1

a)Ensuring that the constraints are in proper form, what is the standardised formulation for the minimization problem

b)Make a formulation of the Lagrangian function of the primal problem.

c)What is the KKT conditions? Where KKT=Karush-Kuhn-Tucker.

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minimize

y12+y22+y32

subject 

y1+2y2+3y34y31

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