Q5) option D)
no CE will exist,
Q6) option b)
if Q = 2.5, P = 8-2.5 = 5.5,
π = (5.5-3)*2.5 = 6.25
.
If Q = 1.5, P = 8-1.5 = 6.5,
π = (6.5-5)*1.5 = 2.25
.
Q = 2, P = 6, MC = 5
π = (6-5)*2 = 2
Maximum π, if Q = 2.5
Q7) option D)
no Utility function exists for lexicographic preferences l
10. Consider a pure exchange competitive market economy with two individ- uals, A and B, and...
9) (10 points) Consider an exchange economy composed of two individuals A and B and two goods x1 and X2. A's utility function is given bỵ U,-2X1 + X2. Individual B's utility function is givenby u = xx2. In the economy, the total endowment of xņš 2 and the total endowment of x2 is 1. Normalize p2 to 1. We know that, in this economy eauilibrium price is given bypi-1. a. (6 points) Find the equilibrium allocation b. (4 points,...
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...
2) Consider an Exchange economy composed of two individuals A and B and two goodsx1 and x2. Individual A has an endowment of W(3,5) and individual B has an endowment of Wa^- (3,3). A's utility function is given byUA Xx2. Suppose that B is neutral about x1 (neither increasing nor decreasing the amount of x1 affects her utility) and she prefers more of x2 to less. Specifv a utility function for B. Eind the equilibrium price and allocations. 3) Consider...
Pure Exchange Model 1. Consider a Pure Exchange Economy with two agents A and B and two goods X and Y in which each agent acts competitively. Their preferences are given by the following utility function U(X,Y)=X13*Y23 Their initial endowments are as follows W=(5,20) w- (25,10) a) Calculate the demand functions for Good X and Good Y for each agent. b) State the equilibrium conditions for this economy. c) Using these conditions and the demand functions found in part a)...
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...
4) (8 points) Consider an exchange economy composed of two individuals A and B and two goods xi and x2. Individual A has an endowment of wA2,4) and individual B has an endowment ofw (3,3). A's utility function is given bỵU,-x1 X2. Individual B's utility, function is giyen bỵ UB-X1 X22. Eind the equilibrium price and allocation.
Question 2 1 pts = Consider a pure exchange endowment economy where consumers are given endowments equal to (WA, TA, TB, UB) (2,1, 1, 2). Preferences for the consumers are identical and given by 7 for i Ui (Xi, Yi) A, B. What is the excess demand function for the market for good y? 1 4 = = X, Yi 2 1 Pc 2 Py 1 P: - 1 2 ру 3 PC 2 Py - 1 3 PX 2...
3. Consider a two consumer endowment economy. Consumer 1 and consumer 2 come into the economy with an endowment of good x and good y. They can voluntarily trade their endowments. They have the following utility functions and endowments: u1(x,y) = zły: u2(z, 1) = a* * And they have the following endowments: Consumer 1 e1 = (4,12) Consumer 2 e2 = = (8,6) (a) Set up the utility maximization problem for consumer 2. Then solve for the demand functions...
2) This guestion is from Final 2016. Consider an Exchange economx composed of twO individuals A and B and two goods x1 and x2. Individual A has an endowment of WA-(3,5) and individual B has an endowment of Ws- (3,3). A's utility function is given by UA- Xx2 a. (3 points) Show that no matter what utility function B has, there exists a Pareto Efficient (PE) allocation. (i.e. Speciỵa Pareto efficient allocation and explain why it is efficient nomatter what...
Charlotte and Wilber are two agents in a two-agent, two-commodity pure exchange economy where apples and bananas are the two commodities. Charlotte loves apples and hates bananas. Her utility function is Ucu, b) = u 5 , where a is the number of apples she consumes and b in the number of bananas she consumes. Wilber likes both apples and bananas. His utility function is Uca, b) = a +2Vb. Charlotte has an initial endowment of no apples and 8...