4. Deriving demand from a marginal utilitv table with two goods Maria has a $10 dessert budget that she uses to hullr pie and cake. Assume the price of pie (Pp) is xed at $2. Table A shows Maria's marginal utility [ LilU) and marginal utility per dollar {$1 she receives from the rst through fifth slices of pie she buys each week. Table B shows the same lnfomlab'on for cal-(e when the price of a slice of cake [PC]! is either $4 or $2. Assume that Maria is a rational consumer who wants to maximize her utility. Table A Pie MU HUIP (Slices) (Gifts) (If P22) 0 2D 10 1 18 9 2 16 8 3 8 4 4 4 2 Ta hle B Cake MU MU] P (Slices) (Utsj' {If P=$4J {If P: $2) E] 32 3 16 1 28 3'" 14 2 24 6 12 3 2D 5 10 4 12 3 6 5 If the price of a slice of cake is $4. the price of a slice of pie is $2. and Maria spends her entire budget of $10. she will choose to hular pie and V of cake. Now, suppose that cake goes on sale, and its price decreases to $2. Maria's utility is new maximized if she buys I V of pie and v of cake. Suppose the price of pie is fixed at $2, and Maria's budget is fixed at $10. On the graph, use the blue line (circle symbols) to plot Maria's demand for cake. Do this by placing one blue point (circle symbol) on Maria's demand for cake when the price is $4 and the second blue point on Maria's demand for cake when the price is $2. 6 O Maria's Demand 4 PRICE (Dollars per slice) 2 2 3 4 5 8