Consider the following four risky assets:

$\backslash$table$[[$Country ETF,$\backslash$table$[[$Expected$],[$Returns$]],\backslash$table$[[$Standard$],[$Deviation$]],$Correlations,Australia,Austria,Belgium,Canada$],[$Australia$,7\mathrm{.}00\%,15\mathrm{.}00\%,$Australia,$1\mathrm{.}00,0\mathrm{.}39,0\mathrm{.}09,0\mathrm{.}00],[$Austria$,10\mathrm{.}00\%,21\mathrm{.}14\%,$Austria,$0\mathrm{.}39,1\mathrm{.}00,0\mathrm{.}17,0\mathrm{.}37],[$Belgium$,11\mathrm{.}00\%,22\mathrm{.}96\%,$Belgium,$0\mathrm{.}09,0\mathrm{.}17,1\mathrm{.}00,0\mathrm{.}21],[$Canada$,14\mathrm{.}00\%,38\mathrm{.}15\%,$Canada,$0\mathrm{.}00,0\mathrm{.}37,0\mathrm{.}21,1\mathrm{.}00],[$Risk$-$free Asset,$6\mathrm{.}00\%,0\mathrm{.}00\%,,,,,]]$

Note the following:

$g=\{\begin{array}{c}\text{:}[2\mathrm{.}55143]\\ -0\mathrm{.}57809\\ -0\mathrm{.}51588\\ -0\mathrm{.}45746\end{array}$

$h=\{\begin{array}{c}\text{:}[-22\mathrm{.}48128]\\ 7\mathrm{.}88593\\ 8\mathrm{.}60840\\ 5\mathrm{.}98694\end{array}$

An investor is looking for a portfolio with an expected return of $11\%.$ What weight should she assign to "Austria" to achieve a portfolio with $(1)$ the lowest variance possible, and $(2)$ an expected return of exactly $11\%?$ Use only the $4$ assets, not the risk$-$free asset.