A Social Planner allocates two goods X (20 units) and Y (10 units) between two consumers 1 and 2.
(a) What is the efficiency condition?
(b) If consumers 1 and 2 have the utility function U=10.X.4Y.6, and U=10.X.6Y.4 respectively, what is the efficient allocation?
(c) Instead of the social planner allocating goods, a competitive market exists. What is the price ratio of X and Y?
(d) If X has $50 and Y has $100, and price of Y is 1, how much of X and Y will be consumed by consumers 1 and 2?
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
A Social Planner allocates two goods X (20 units) and Y (10 units) between two consumers...
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...
Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x; y) = 2x+y and B's utility function is UB(x; y) = xy. A's initial allocation is 10 units of x and 0 units of y. B's initial allocation is 0 units of x and 30 units of y. (a) Put wine x on the...
Description of the economy: For each of the following problems, consider a 2x2 Exchange Economy with two consumers A and B, and two goods X and Y . The preferences of consumer A can be represented by the utility function uA(xA, yA) = xAyA , where xA is the amount of good A consumed by consumer A, and yA is the amount of good Y consumed by consumer A. The preferences of consumer B can be represented by the utility...
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...
Anything will help
Consider a pure exchange economy with two goods, wine (x) and cheese (y) and two con- sumers, A and B. Let cheese be the numeraire good with price of $1. Consumer A's utility function is UA(x, y) = xy and B's utility function is UB(x, y) = min [x, y). A has an initial allocation of 10 x and no y, and B has an initial allocation of 10 units of y and no x. (a) Put...
Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 3 units of good X and 5 units of good Y. Consumer B is given an initial endowment of 5 units of good X and 3 units of good Y. Consumer A’s utility function is given by: UA(X,Y) = X + 4Y, and consumer B’s utility function is given by UB(X,Y) = MIN (X, 2Y). If the prices...
Description of the economy: For each of the following problems, consider a 2x2 Exchange Economy with two consumers A and B, and two goods X and Y . The preferences of consumer A can be represented by the utility function uA(xA, yA) = xAyA , where xA is the amount of good A consumed by consumer A, and yA is the amount of good Y consumed by consumer A. The preferences of consumer B can be represented by the utility...
3. (22 total points) 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: And consumer B's utility function is given by Therefore, consumer A's marginal utilities for each good are...
General Equilibrium:
Problem 4 Consider a pure exchange economy with two goods and two consumers, Rand J with utility functions UR(x,y) = x²y and U,(x,y) = x4y respectively, and endowments of wR = (2,1) and wj = (1,2). Compute the competitive equilibrium for this economy. Calculate the transfers ta and t, needed to support the allocation (XR, YR) = (1,1.5) and (xj. y.) = (2,1.5) as an equilibrium with transfers. %3D
17. In a two person-two good economy, goods X and Y are perfect complements for John and Mary. There are 12 units of X and 6 units of Y available. Initially, John has 8 units of X and 2 units of Y and Mary has 4 units of X and 4 units of Y Draw an Edgeworth Box associated with this economy. Show the initial allocation and plot the (a) i both John and Marry that pass through the initial...