onsider the following optimization problem

min x$2+1$

s$.$t$.($x$2)($x$4)<=0$

$.$ Select the correct options regarding this optimization problem.

Strong Duality holds.

Strong duality doesn$$t hold.

The Lagrangian can be written as L$($x$,\backslash$lambda $)=(1+\backslash$lambda $)$x$26\backslash$lambda x$+1+8\backslash$lambda

The dual objective will be g$(\backslash$lambda $)=9\backslash$lambda $21+\backslash$lambda $+1+8\backslash$lambda