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3. Originally, the price of X is $150 and the price of Y is S50. If the price of X increases by $20 and the price o...
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...
4. An individual has preferences represented by the utility function U(x,y)=(x12+yızg Which of the following statements...
4. An individual has preferences represented by the utility function U(x,y)=(x12+yızg Which of the following statements concerning her MRS is false? a. If the individual has 4 units of x and 36 units of y, she would be willing to trade a b. If the individual has 8 units of x and 2 units of y, the MRS of x for y at that point would c. If the individual has 16 units of x and 4 units of 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...
For questions 8-10 assume that Katy has preferences for sleeping and partying which can be described...
For questions 8-10 assume that Katy has preferences for sleeping and partying which can be described by the utility function ? = ? 2? 2 with marginal utilities ??? = 2??2 , ??? = 2? ?2 . 8. Given Katy’s utility function, the corresponding indifference curves slope upward/downward and become flatter/steeper (a) upward, flatter (b) upward, steeper (c) downward, flatter (d) downward, steeper 9. Given Katy’s utility function, she needs to give up increasing amounts of sleeping hours in order...
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...
3. Suppose the utility function for two goods, x and y, is: U = U(x,y) =...
3. Suppose the utility function for two goods, x and y, is: U = U(x,y) = xłyż. a. Graph the indifference curve for U = 10. b. If x = 5, what must y equal to be on the U = 10 indifference curve? What is the MRS at this point? c. Derive a general expression for the MRS for this utility function. Show how it can be interpreted as the ratio of the marginal utilities. d. Does this individual...
2) If the price of automobiles were to increase substantially, the demand curve for gasoline would most likely A) shift...
2) If the price of automobiles were to increase substantially, the demand curve for gasoline would most likely A) shift leftward. B) shift rightward. C) become flatter. D) become steeper. 3) If the price of automobiles were to decrease substantially, the demand curve for automobiles would most likely A) shift rightward. B) shift leftward. C) remain unchanged. D) become steeper. 4) Suppose a market were currently at equilibrium. A rightward shift of the demand curve would cause A) an increase...
Suppose an individual’s utility function for two goods X and Y is givenby U(X,Y) = X^(3/4)Y^(1/4)...
Suppose an individual’s utility function for two goods X and Y is givenby U(X,Y) = X^(3/4)Y^(1/4) Denote the price of good X by Px, price of good Y by Py and the income of the consumer by I. a) (2 points) Write down the budget constraint for the individual. b) (4 points) Derive the marginal utilities of X and Y. c) (3 points) Derive the expression for the marginal rate of substitution of X for Y. Write down the tangency...
3. A consumer's preferences over a and y are given by the utility function u(x,y) -...
3. A consumer's preferences over a and y are given by the utility function u(x,y) - 2vr 2/y. The individual's income is I $100. The price of a unit of good c is $2, while the price of a unit of good y is S1. a) Graphically describe: i. the consumer's preferences for r and y ii. the budget constraint (b) Find the optimal x that the consumer would choose. You may assume (c) What is the consumer's MRS at...
5. Assume an individual has preferences represented by the utility function U(x, y) = x1/2y1/3 Which...
5. Assume an individual has preferences represented by the utility function U(x, y) = x1/2y1/3 Which of the following statements is necessarily TRUE? Assume prices and income are positive. a. The price consumption curve as the price of x changes) slopes downward. b. The income consumption curve slopes downward. c. Cross-price elasticity of demand for good x with respect to the price of y is negative. d. Price elasticity of demand for good y is negative. (See Besanko 5.6 and...
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...
4. An individual has preferences represented by the utility function U(x,y)=(x12+yızg Which of the following statements concerning her MRS is false? a. If the individual has 4 units of x and 36 units of y, she would be willing to trade a b. If the individual has 8 units of x and 2 units of y, the MRS of x for y at that point would c. If the individual has 16 units of x and 4 units of 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...
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...
3. Suppose the utility function for two goods, x and y, is: U = U(x,y) = xłyż. a. Graph the indifference curve for U = 10. b. If x = 5, what must y equal to be on the U = 10 indifference curve? What is the MRS at this point? c. Derive a general expression for the MRS for this utility function. Show how it can be interpreted as the ratio of the marginal utilities. d. Does this individual...
3. A consumer's preferences over a and y are given by the utility function u(x,y) - 2vr 2/y. The individual's income is I $100. The price of a unit of good c is $2, while the price of a unit of good y is S1. a) Graphically describe: i. the consumer's preferences for r and y ii. the budget constraint (b) Find the optimal x that the consumer would choose. You may assume (c) What is the consumer's MRS at...
5. Assume an individual has preferences represented by the utility function U(x, y) = x1/2y1/3 Which of the following statements is necessarily TRUE? Assume prices and income are positive. a. The price consumption curve as the price of x changes) slopes downward. b. The income consumption curve slopes downward. c. Cross-price elasticity of demand for good x with respect to the price of y is negative. d. Price elasticity of demand for good y is negative. (See Besanko 5.6 and...
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