6. Suppose that the price of good X is $1 and the price of good Y is $1, and that income is $7. The following tables show the marginal utility schedules for X and Y:
Good X: Good Y:
Qx MUx Qy MUy
1 15 1 12
2 11 2 9
3 9 3 6
4 6 4 5
5 4 5 3
6 3 6 2
7 1 7 1
How much of good X and how much of good Y should the individual purchase to maximize utility? Explain how you know. (Hint: There are 2 conditions that must be satisfied.)
6. Suppose that the price of good X is $1 and the price of good Y...
John consumes two goods, X and Y and has an income of $25. Price of good X is S3 per unit and price of good Y is $2 per unit. John's utility function is given by U (X, Y) = 0.5 XY. The marginal utility of X, MUx 0.5Y and the marginal utility of Y, MUy 0.5X. (a) Determine the optimal values of X and Y that will maximize John's utility. (7 marks) (b) Calculate the total utility at the...
1. The following total utility schedule (Table 3) of Maria who is consuming goods X and Y when the price of X is $6 and the price of Y is $30. Maria's income is $144. 2 46 3 62 4 | 74 5 80 6 84 Table 3 Ox 1 TUX 28 MUX 28 Qy 1 TUY 150 MUX 150 2 270 3 360 4 420 7 480 450 470 b. Are these preferences consistent with the law of diminishing...
2. Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 2 units of good X and 3 units of good Y. Consumer B is given an initial endowment of 6 units of good X and 5 units of good Y. Consumer A’s utility function is given by: UA(X,Y) = X1/2*Y1/2, And consumer B’s utility function is given by UB(X,Y) = X1/4*Y3/4. Therefore, consumer A’s marginal utilities for...
Suppose there are two consumers, A and B, and two goods, X, and Y. Consumer A's utility function is given by: Ua(X,Y) = X*Y^3 Consumer B's utility function is given by: Ub (X,Y) = X*Y Marginal Utilities for A: MUx =Y^3 , MUy = 3X*Y^2 Marginal Utilities for B: MUx = Y, MUy = X Initial endowments: Person A has 40 units of good X and 20 units of good Y Person B has 30 units of good x and...
Q5. Suppose that marginal utility of Good X = 100, the price X is $10 per unit, and the price of Y is $5 per unit. Assuming that the consumer is in equilibrium and is consuming both X and Y, what must the marginal utility of Y be? P12. The following tables illustrate Eileen’s utilities from watching first-run movies in a theater and from renting movies from a video store. Suppose that she has a monthly movie budget of $36,...
1) How much of good A and B should the consumer buy to maximize utility? 2) Suppose the consumer's income increased from $11 to $14, what would be the utility-maximizing combination of goods A and B? Answer the next question(s) based on the table below showing the marginal-utility schedules for gouds A and B for a hypothetical consumer. The price of good A is $1 and the price of good B is $2. The income of the consumer is $1...
Assume that the price of X (PX) is $15 and Mr. Zigolo’s marginal utility from consumption of X (MUX) is 60; and the price of Y (PY) is $3 and the marginal utility from consumption of Y (MUY) is 60. Is Mr. Zigolo maximizing utility? If not, what should he do to maximize his utility
Question 8 1 pts The following table shows Total Utility data for products Land M. Assume that the price of Lis $2 each and the price of Mis $4 each and that the consumer's income is $24. What quantities of Land M should be purchased to maximize total utility? Units of L 1 1 2 3 4 5 Total Utility 9 15 18 20 21 Units Total of M Utility 16 2 28 3 36 4 40 5 42 4...
1. Suppose that when the price of a good is s15, the quantity demanded is 4o units, and when the price falls to s6, the quantity increases to 6o units. The price elasticity of demand near a price of s6 and a quantity of 60 can be calculated as: A) -5/6 C)-2/9 B)-2 D) -9/2 2. Which of the following statements is true? A) The price elasticity of demand is positive when there is an inverse relationship betweern price and...
Marta consumes only goods X and Y and faces the following utility function: U=7 X+4 Y. The marginal utility for X is MUX=7 and the marginal utility for Y is MUY=4 . The price of X is $10 and the price of Y is $50. Marta has an initial budget of $200. How many of X and Y will Marta buy given her utility function, her budget, and the prices? X= Y= Suppose that the government places a restriction on X...