$($Optimization with Inequality Constraints$)$

Find the solution $(x^{**},y^{**})$ for the following problem. Compute $2x^{**}-3y^{**}.$

$mi{n}_{x,y}-1(x-1{)}^2{e}^{y^2}$ subject $to{x}^2{y}^{2}1$

$-2$

$2$

$-(0\mathrm{.}5{)}^{0\mathrm{.}5}$

$(0\mathrm{.}5{)}^{0\mathrm{.}5}$

$5((0\mathrm{.}5{)}^{0\mathrm{.}5})$