You are choosing between two goods, $x$ and $Y,$ and your marginal utility from each is as shown below.

$\backslash$table$[[$Units of $x,$MUx,Units of $Y,$MUy$],[1,20,1,16],[2,16,2,14],[3,12,3,12],[4,8,4,10],[5,6,5,8],[6,4,6,6]]$

Instructions: Enter your answers as whole numbers.

a$.$ If your income is $$18\mathrm{.}00$ and the prices of $x$ and $Y$ are $$4\mathrm{.}00$ and $$2\mathrm{.}00,$ respectively, what quantities of each will you purchase to maximize utility? $x=$ units. $Y=$ units.

b$.$ What total utility will you realize? $$

c$.$ Assume that, other things remaining unchanged, the price of $x$ falls to $$2\mathrm{.}00.$ What quantities of $x$ and $Y$ will you now purchase?

$x=$ units. $Y=$ units.

d$.$ Using the two prices and quantities for $x,$ derive a demand schedule $($a table showing prices and quantities demanded$)$ for $x.$

Instructions: Start with the highest price first.

Price

Quantity Demanded

$

$$