Question

Two consumers (A,B) , two firms with goods x, y. The consumers are initially endowed with:...

Two consumers (A,B) , two firms with goods x, y. The consumers are initially endowed with: K^A=100 L^A=250, K^B=300, L^B=150

*What I have so far

U=X^2Y MRS^A=2Y^A/X^A=P^X/P^Y

U=XY^2 MRS^B=Y^A/2X^A=P^X/P^Y

X=K^1/3*L^2/3 mrts=2K^X/L^X=w/r

3*K^1/3*L^1/3 mrts=2K^Y/L^Y=w/r

r=1, find: the competitive general equilibrium p^x,p^y,w,

Equilibrium quantities demanded of x and y for both consumers, the equilibrium production function inputs

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose there are two consumers, A and B, and two goods, X and Y. The consumers...
Suppose there are two consumers, A and B, and two goods, X and Y. The consumers have the following initial endowments and utility functions: W X A = 2 W Y A = 9 U A ( X , Y ) = X 1 3 Y 2 3 W X B = 6 W Y B = 2 U B ( X , Y ) = 3 X + 4 Y Suppose the price of X is PX=2 and the...
4: There is an exchange economy with two agents, A, B, and two goods,  x, y. A's...
4: There is an exchange economy with two agents, A, B, and two goods,  x, y. A's endowment is x = 6, y = 4, and B's endowment is x = 4, y = 6. (a) A has the utility function  u(x, y) = x + y  and B u(x, y) = xy. Find a competitive equilibrium allocation (CEA) and associated equilibrium prices. What difference would it make if A's endowment is x = 3, y = 1, and B's endowment is x...
b) The consumers utility function is given by U(X,Y) = MIN(2X, 3Y), and the given bundle...
b) The consumers utility function is given by U(X,Y) = MIN(2X, 3Y), and the given bundle is X = 3 and Y = 1. i) MRS = __________________________________________________ ii) Draw your graph in this space:
If the technologies of the two producers (of X and Y) are given, initially endowment with...
If the technologies of the two producers (of X and Y) are given, initially endowment with L and K are given for both consumers. How can we find the equilibrium production inputs (Kx, Ky etc.)?
Consider an exchange economy consisting of two people, A and B, endowed with two goods, 1...
Consider an exchange economy consisting of two people, A and B, endowed with two goods, 1 and 2. Person A is initially endowed with Wa = (0,9) and person B is initially endowed with Wb = (10,0). They have identical preferences, which are given by Ua,b (X1, X2) = (X1)^2 x X2 . Suppose that P2 = 1 . Under the competitive equilibrium, what is P1?
Suppose that there are two goods, X and Y. The utility function is U = XY...
Suppose that there are two goods, X and Y. The utility function is U = XY + 2Y. The price of one unit of X is P, and the price of one unit of Y is £5. Income is £60. Derive the demand for X as a function of P.
Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A...
Suppose there are two consumers, A and B, and two goods, X and Y. Consumer A is given an initial endowment of 4 units of good X and 4 units of good Y. Consumer B is given an initial endowment of 4 units of good X and 4 units of good Y. Consumer A’s utility function is given by: UA(X,Y) = X*Y4, and consumer B’s utility function is given by UB(X,Y) = X*Y. Therefore, consumer A’s marginal utilities for each...
Consider an exchange economy with two consumers A and B, and teo goods X and Y....
Consider an exchange economy with two consumers A and B, and teo goods X and Y. A's utility function is Ua=X^(1/3)Y^(2/3) and B's utility function is Ub=X^(2/3)Y^(1/3). Initial endowments for A are (18,4) and for B are (2,6). Q. Suppose that B realizes he has market power and hence optimizes by controlling price. Individual A behaves as price taker. Formulate the optimization problem of individual B and solve the equilibrium.
using the change of variable x =u/v, y=v evaluate "double integral(x^2+2y^2)dxdy: R is the region in...
using the change of variable x =u/v, y=v evaluate "double integral(x^2+2y^2)dxdy: R is the region in the first quadrant bounded by the graphs of xy=1, xy=2, y=x, y=2x
Suppose there are two consumers, A and B. There are two goods, X and Y. There...
Suppose there are two consumers, A and B. There are two goods, X and Y. There is a TOTAL of 8 units of X and a TOTAL of 8 units of Y. The consumers’ utility functions are given by: UA(X,Y) = 4X + Y UB(X,Y) = X*Y For each of the following allocations, write TRUE if it is Pareto Efficient and FALSE if it is not: i) Consumer A gets 6 units of X and 2 units of Y, and...