Given the following consumption data determine whether $x^{1}is$

revealed preferred $to{x}^2,x^{2}is$ revealed preferred $to{x}^1,or$

neither $is$ revealed preferred $to$ the other.

$p_1^1=1,p_2^1=2,x_1^1=10,x_2^1=5$

$p_1^2=3,p_2^2=1,x_1^2=3,x_2^2=11$

Suppose that a consumer's utility function $is$ given $by$

$U=x_1^{\frac{1}{2}}{x}_2^{\frac{1}{2}}$

$a.$ Find optimal values $of{x}_1$ and $x_2$ using the general form $of$ the

budget constraint $P_1{x}_1+{?}^1{P}_2{x}_2=$I.

$b.$ Using your answer $toa,$ find the consumer's response $in{x}_{1}toa$

change $in$ the price $of{x}_1.$

$c.$ Use your answer $in$ part $bto$ find price elasticity $of$ demand for

good $x_1.$

$Im$ pretty sure they both $go$ together and $im$ struggling $to$ solve $4$ part $b$ and $c$