Molly consumes two goods, good x and good y and her preferences are represented by the...
Molly consumes two goods, good x and good y and her preferences are represented by the utility function U (x, y) = 1/2x^2 + 4y.
1. Draw (sketch) Molly’s indifference curves for U(x,y) = 10, U(x,y) = 16, U(x,y) = 24 and for U(x,y) = 32.5.
2. Do Molly’s preferences satisfy strict monotonicity? Explain briefly
3. Do the indifference curves you’ve drawn reflect preferences that are convex? Explain briefly
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Molly consumes two goods, good x and good y and her preferences
are represented by the...
Consider the following 3 utility functions with good x and good y: ? ?(?, ?) =...
Consider the following 3 utility functions with good x and good y: ? ?(?, ?) = (?^2)*sqrt(?), ? ?(?, ?) = 2? − (1/2)?, ? ? (?, ?) = 4 ln ? + ln ? a. Find Marginal Utility (MUx and MUy) for each these utility functions. b. Is assumption that more is better satisfied for both goods in all of these utility functions? If not, specify for which function(s) and for which good(s) it is not satisfied. c. Does...
1. True or False, and explain briefly. 1) The assumption that more is better implies that...
1. True or False, and explain briefly. 1) The assumption that more is better implies that the indifference curves are upward sloping 2) Convexity of indifference curves implies that consumers are willing to give up more to get an extra the more they have 3) Consider the following three bundles. Bundle Good Goody If Bundles A and B are on the same indifference curve, preferences satisfy all the usual assumptions introduced in the lecture, Bundle Cis preferred to Bundle A...
2. Zhixiu has the following linear preferences over coffee (x) and candy (y): u(x, y) =...
2. Zhixiu has the following linear preferences over coffee (x) and candy (y): u(x, y) = 2x+4y (a) Graph the indifference curves for Zhixiu that represent each of the following utility levels: 10, 20, 40, and 60. (You should be drawing 4 indifference curves, make sure to label with one represents which utility level) Make sure to show your calculations for how you identified the equation of the indifference curves.(4 points) (b) Setup Zhixiu's utility maximization problem with a general...
7. An individual's preferences are represented by the utility function Ua, y) 4xy x. Which of...
7. An individual's preferences are represented by the utility function Ua, y) 4xy x. Which of the following statements is false? a. The marginal utility of x increases as x increases, holding y constant. b. Preferences are monotonic in both goods. c. The indifference curves slope downward at a decreasing rate. d. The marginal rate of substitution ofx for y increases as y increases, holding x constarnt e. The consumer is willing to give up decreasing amounts of good y...
8. An individual's preferences are represented by the utility function Ulx, y) . Which of the...
8. An individual's preferences are represented by the utility function Ulx, y) . Which of the following statements is true? a. The marginal utility of x decreases as x increases, holding y constant. b. The marginal rate of substitution of x for y increases as the consumer substitutes x for y (i.e. more x and less y) along an indifference curve. c. The consumer needs to be compensated with (i.e. gain) increasing amounts of good x in order to be...
Suppose a consumer’s preferences for two goods, X and Y, can be described by a utility...
Suppose a consumer’s preferences for two goods, X and Y, can be described by a utility function which takes the form:U= min(XY) which simply means the consumer’s utility is equal to the smaller of either X or Y.Draw and explain a simple set of indifference curves representing these preferences.
QUESTION 4 Reshad's preferences over goods 1 and 2 are given by the following utility function:...
QUESTION 4 Reshad's preferences over goods 1 and 2 are given by the following utility function: U(q1, q2)q2Select all that applies: O a His preferences satisfy "more is better O b. His preferences fail the transitivity assumption C. His indifference curves are downward sloping His preferences are convex D e. He dislikes good 1 Marginal rate of substitution for his preferences is given by MRS12
Clara consumes two goods x and y. Suppose her utility function is given as U(x,y)=min{3x,4y} The...
Clara consumes two goods x and y. Suppose her utility function is given as U(x,y)=min{3x,4y} The prices of the two goods are Px for good x and Py for good y. If her monthly income is $M, Derive her uncompensated demand function for good x Derive her uncompensated demand function for good y Derive the cross-price effects and show that the two goods are complementary goods.
Q1. Suppose consumer consumes two goods, X and Y. The price of X is P x...
Q1. Suppose consumer consumes two goods, X and Y. The price of X is P x , price of Y is P Y and the consumer income is m. a. Derive and interpret the budget constraint and its slope. b. If slope is -3, how will you interpret it? c. Suppose a government wants to discourage the excessive consumption of X and decides to impose a tax t 1 if someone consume more than X 1 but less than X...
(38pts) Suppose a consumer spends all of her income on only two goods, z and y. Her preferences o...
(38pts) Suppose a consumer spends all of her income on only two goods, z and y. Her preferences over these two goods are represented by the utility function u(r,y) min(, 4y). The price of good y is given to be S8. Her income and price of z are represented by m and ps, respectively. (a) (10 pts) Find the demand for good z as a function of m and pa. (b) (5 pts) Is good z ordinary or Giffen good?...
1. True or False, and explain briefly. 1) The assumption that more is better implies that the indifference curves are upward sloping 2) Convexity of indifference curves implies that consumers are willing to give up more to get an extra the more they have 3) Consider the following three bundles. Bundle Good Goody If Bundles A and B are on the same indifference curve, preferences satisfy all the usual assumptions introduced in the lecture, Bundle Cis preferred to Bundle A...
2. Zhixiu has the following linear preferences over coffee (x) and candy (y): u(x, y) = 2x+4y (a) Graph the indifference curves for Zhixiu that represent each of the following utility levels: 10, 20, 40, and 60. (You should be drawing 4 indifference curves, make sure to label with one represents which utility level) Make sure to show your calculations for how you identified the equation of the indifference curves.(4 points) (b) Setup Zhixiu's utility maximization problem with a general...
7. An individual's preferences are represented by the utility function Ua, y) 4xy x. Which of the following statements is false? a. The marginal utility of x increases as x increases, holding y constant. b. Preferences are monotonic in both goods. c. The indifference curves slope downward at a decreasing rate. d. The marginal rate of substitution ofx for y increases as y increases, holding x constarnt e. The consumer is willing to give up decreasing amounts of good y...
8. An individual's preferences are represented by the utility function Ulx, y) . Which of the following statements is true? a. The marginal utility of x decreases as x increases, holding y constant. b. The marginal rate of substitution of x for y increases as the consumer substitutes x for y (i.e. more x and less y) along an indifference curve. c. The consumer needs to be compensated with (i.e. gain) increasing amounts of good x in order to be...
QUESTION 4 Reshad's preferences over goods 1 and 2 are given by the following utility function: U(q1, q2)q2Select all that applies: O a His preferences satisfy "more is better O b. His preferences fail the transitivity assumption C. His indifference curves are downward sloping His preferences are convex D e. He dislikes good 1 Marginal rate of substitution for his preferences is given by MRS12
(38pts) Suppose a consumer spends all of her income on only two goods, z and y. Her preferences over these two goods are represented by the utility function u(r,y) min(, 4y). The price of good y is given to be S8. Her income and price of z are represented by m and ps, respectively. (a) (10 pts) Find the demand for good z as a function of m and pa. (b) (5 pts) Is good z ordinary or Giffen good?...
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