Q$2$

Find $x*$ and $y$ that maximize the utility function given by: $U(x,y)=x^3{y}^2*||$

Where $x*$ and $*y*$ represent the amounts of $x*$ and $y*gds$ consumed respectively. The budget constraint is $10x+15y=250|$

i$.$ Find the values of $x$ and $y$ that maximize utility. $($use Hessian matrix$).I$

ii$.$ What is the value of the maximum $U(x,y).$