$[40$ points$]$ Abeer has the following utility function and budget constarint

$U=xY$

$P_y=2$

$P_x=8$

$I=32$

$U^0=16$

Where $,P_{y}is$ The price $of$ good $y$

$P_{x}is$ The price $of$ good $x$

I $is$ income

$U^{O}is$ a fixed level $of$ utility

$ax$ and $Y$ and calculate utility $at$ the optimum

$(indirect$ utility$)$

$bx,Y,$ and expenditure needed $at$ the optimum.

$dxif$ its price rises $to10$