Find the optimal solution to the following NLP using Solver:

min,$4$x$\_(1)^(2)-2$x$\_(1)$x$\_(2)+3$x$\_(2)^(2)$

s$.$t$.$ x$\_(1)-2$x

$,-$x$\_(1)+4$x

Notice that we do NOT have non$-$negativity constraints.

Note: Any local optimal solution to this NLP is also a global optimal solution, so

you do not have to use multi$-$start. You may want to save your spreadsheet

model for future reference.

Answer to TWO decimal place $($round if necessary$).$ What is the

optimal objective function value?