Kyle's utility function is U = 2.7X +2.7Y, where X is units of good X and Y is units of good Y. What is the marginal utility of good X? O 6 O 3.7 O 3.7X + 3.7 O 2.7
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- Assume that the price of oranges is $2 and the price of starfruit is $1. You have $10 of income to spend on both goods, and you intend to spend the entire amount. Note that MU stands for marginal utility. Q of oranges MU from oranges Q of starfruit MU of starfruit 1 $20 1 $12 2 16 2 10 3 12 3 8 4 8 4 6 5 4 5 4 6 0 6 2 To maximize total utility, you would consume _____ oranges and _____ starfruit. Question 25…The tables show the utility Parker experienced from consuming varying quantities of waffles and pancakes. Assume that waffles cost $2.00 each, pancakes cost $1.00 each, and that Parker has $8.00 to spend on these two goods. Since Parker cannot afford more than four waffles or eight pancakes, the utility is given only for quantities smaller than these. Quantity of waffles Total utility of waffles Marginal utility of waffles 1 100 100 2 180 80 3 240 60 4 270 30 Quantity of pancakes Total utility of pancakes Marginal utility of pancakes 1 40 40 2 70 30 3 90 20 4 105 15 5 115 10 6 120 5 7 123 3 8 125 2 Given his budget constraint, determine what quantities of waffles and pancakes Parker will consume to maximize utility. quantity of waffles: waffleswaffles quantity of pancakes: pancakesYou are choosing between two goods, X and Y, and your marginal utility from each is as shown in the following table. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? What total utility will you realize? Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? Using the two prices and quantities for X, derive a demand schedule (a table showing prices and quantities demanded) for X.
- J 4 True or false? Be sure to explain your answer in detail. Suppose the utility function u(x1, x2) = 2x1x2 represents a consumer's preferences. Then the utility function v(x1,x2) = x1x2 also represents the same consumer's preferencesYou are choosing between two goods, X and Y, and your marginal utility from each is shown in the following table. Units of X MUx Units of Y MUy 1 10 1 8 2 8 2 7 3 6 3 6 4 4 4 5 5 3 5 4 6 2 6 3 a. If your income is $9 and the prices of X and Y are $2 and $1, respectively, what quantities of each will you purchase to maximize utility? ______units of X and ______units of Y b. What total utility will you realize? ______utils c. Assume that, other things remaining unchanged, the price of X falls to $1. What quantities of X and Y will you now purchase? _____units of X and ______units of Y d. Using the two prices and quantities for X, complete the table to derive the demand schedule (a table showing prices and quantities demanded) for X. Instructions: Start with the highest price first Price of X Quantity Demanded of X $ $True or false with reasoning: 1) _______When we claim that utility can be ordinally measured, we assume that the consumer is able to measure the total and marginal utility received when one extra unit of a commodity is consumed. 2)_______If MRS between two goods is constant, then having more of one good without having more of the other does not increase utility. 3)_______Marginal Utility increases until total utility is at a maximum and then marginal utility decreases.