Homework Answers
The following diagram represents the economy in an Edgeworth Box.
The initial endowment point is Pareto Optimal. This is because neither of the two agents can be made better off without making the other worse off.
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2. (20 points) Suppose there are two consumers, A and B The utility functions of each consumer are given by: UA(X,Y...
3. Suppose there are two consumers, A and B. The utility functions of each consumer are...
3. Suppose there are two consumers, A and B. The utility functions of each consumer are given by: Up(X,Y) = X + 2Y The initial endowments are: A:X=2; Y = 8 a) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and accurately. b) What is the marginal rate of substitution for consumer A at the initial...
help solve 2. (16 total points) Suppose there are two consumers, A and B The utility...
help solve
2. (16 total points) Suppose there are two consumers, A and B The utility functions of each consumer are given by: UA(XY) = X10*712 U(X,Y)= 4X+Y The initial endowments are A:X = 4: Y = 4 B:X = 4; Y = 12 a) (10 points) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and...
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...
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...
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...
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...
Consumer A has a utility function u(x,y) = xA + yA and an endowment of (x,y)...
Consumer A has a utility function u(x,y) = xA + yA and an endowment of (x,y) = (25,5). Consumer B has a utility function u(x,y) = min{xB,yB} and an endowment (x,y) = (25,45). a. Carefully sketch the Edgeworth Box and indicate where the endowment is. b. What is A’s utility and B’s utility if they each simply consumer their endowments? c. Next, add the indifference curve for A and B, through their endowments in your Edgeworth Box. d. Find a...
2. Suppose there are two consumers, A and B, and two goods, X and Y. Consumer...
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...
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...
Q: Suppose there are two consumers, A and B. The utility functions of each consumer are...
Q: Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = XY3 UB(X,Y) = X*Y Therefore: For consumer A: MUX = Y3; MUY = 3XY2 For consumer B: MUX = Y; MUY = X The initial endowments are: A: X = 16; Y = 28 B: X = 54; Y = 12 a) Suppose the price of Y, PY = 1. Calculate the price of X, PX that will lead to...
1. Consider the following exchange economy. There are two goods (1 and 2) and two consumers (A an...
1. Consider the following exchange economy. There are two goods (1 and 2) and two consumers (A and B). Preferences and endowments are as follows: uA (イ·攻)-玲攻 TA _ (0,2) 2(4,0) (a) Draw an Edgeworth Box diagram to depict this economy. Your diagram should be clearly labelled, and should include the autar kic allocation as well as a couple of indifference curves for each consumer. (Indifference curves for A do not need to be precisely accurate but those for B...
Use the following information for Q4 and 25. There are two consumers A and B with...
Use the following information for Q4 and 25. There are two consumers A and B with the following utility functions and endowments: UA (XA, YA) = x A +aya, (W2A, WyA) = (1,2) UB(XB, YB) = {b + yb, wzB, WyB) = (2, 1) where a>1, X; and Yi denote the consumption of goods x and y for consumer i, and (Wri, Wyi) denote the endowment of goods x and y for consumer i. Q4: True or false. At any...
3. Suppose there are two consumers, A and B. The utility functions of each consumer are given by: Up(X,Y) = X + 2Y The initial endowments are: A:X=2; Y = 8 a) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and accurately. b) What is the marginal rate of substitution for consumer A at the initial...
help solve
2. (16 total points) Suppose there are two consumers, A and B The utility functions of each consumer are given by: UA(XY) = X10*712 U(X,Y)= 4X+Y The initial endowments are A:X = 4: Y = 4 B:X = 4; Y = 12 a) (10 points) Using an Edgeworth Box, graph the initial allocation (label it "W") and draw the indifference curve for each consumer that runs through the initial allocation. Be sure to label your graph carefully and...
1. Consider the following exchange economy. There are two goods (1 and 2) and two consumers (A and B). Preferences and endowments are as follows: uA (イ·攻)-玲攻 TA _ (0,2) 2(4,0) (a) Draw an Edgeworth Box diagram to depict this economy. Your diagram should be clearly labelled, and should include the autar kic allocation as well as a couple of indifference curves for each consumer. (Indifference curves for A do not need to be precisely accurate but those for B...
Use the following information for Q4 and 25. There are two consumers A and B with the following utility functions and endowments: UA (XA, YA) = x A +aya, (W2A, WyA) = (1,2) UB(XB, YB) = {b + yb, wzB, WyB) = (2, 1) where a>1, X; and Yi denote the consumption of goods x and y for consumer i, and (Wri, Wyi) denote the endowment of goods x and y for consumer i. Q4: True or false. At any...
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