$$ Amari and Bailey are two self$-$regarding traders engaged in exchange over good x and good y$.$ Their utility functions are given by the following:

Amari: $$

Bailey: $$

$$

$$ These utility fuctions imply the following marginal utities:

$$

$$

$$

$$

$($a$)(1$ point$)$ What is Amari$$s marginal rate of substitution of x for y $($mrsA$)?$ What is Bailey$$s marginal rate of substitution of x for y $($mrsB$)?$ Hint: