Bob has the utility function $u(x_1,x_2)=10x_1^{\frac{1}{2}}+2x_2.$ Let $p_1=5$ and $p_2=10$ per unit.

$a1(\frac{?}{MU}{?}_{(}()()1))$ with $x_{1}on$ the horizontal axis

and for some arbitrary positive value $of{x}_2.$ What $is$ the sign $of\frac{?}{MU}{?}_{(}()()1)$ and what $is$

the economic interpretation? What happens $to\frac{?}{MU}{?}_{(}()()1)as{x}_1$ increases and what $is$ the

economic interpretation?

$b2(\frac{?}{MU}{?}_{(}()()2))$ with $x_{2}on$ the horizontal axis. What $is$ the

sign $of\frac{?}{MU}{?}_{(}()()2)$ and what $is$ the economic interpretation? What happens $to\frac{?}{MU}{?}_{(}()()2)as{x}_2$

increases, else constant?

$c1((\frac{?}{MU}{?}_{(}())\frac{1}{p_1}))to$ the

marginal utility $of$ good $2$ per dollar spent $on$ that good $((\frac{?}{MU}{?}_{(}())\frac{2}{p_2})).$ For what values

$of{x}_{1}we$ have $\frac{?}{MU}{?}_{(}())\frac{1}{p_1}\frac{?}{M}>U{?}_{(}())\frac{2}{p_2}?$ What condition must $be$ satisfied for $\frac{?}{MU}{?}_{(}())\frac{1}{p_1}$

$\frac{?}{MU}{?}_{(}())\frac{2}{p_2}?$

$dm>0?Isit$ possible that Bob

buys zero units $of$ good $2$ when $m>0?$ Explain your answers using your results from

part $c$ above.

$em=100.$ Find his utility

maximizing bundle when his income $ism=150.$