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Given the following utility functions. Draw an Edgeworth box with labeled axes, total resource value with...
2. (20 points) Suppose there are two consumers, A and B The utility functions of each consumer are given by: UA(X,Y) XY UB(X,Y) Min(X,Y) The initial endowments are: A: X 1; Y 1 B: X 5; Y 5 Illustrate the initial endowments in and Edgeworth Box. Be sure to label the Edgeworth Box carefully and accurately, and make sure the dimensions of the box are correct. Also, draw each consumer's indifference curve that runs through the initial endowments. Is this...
C. Edgeworth box with non-convex preferences Do this question graphically. Suppose the utility functions for consumers A and B are given by UA(x1, x2) = x1 + x2 uB(x1, x2) = min {x1,22} and their endowments are WA = (3,4) WB = (4,3) (a) Is (P1, P2) = (1, 1) an equilibrium price? If so, what is the equilibrium consump- tion allocation? (b) Is (P1, P2) = (1, 2) an equilibrium price? If so, what is the equilibrium consump- tion...
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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. (19 pts) Adrienne and Deepa consume pizza, Z, and cola, C. Adrienne's utility function is UA = Z CA and Deepa' s utility function is U = 29.5C9.5. Adrienne's marginal utility of pizza is MUZ = CA, and her marginal utility of cola is MUS = Z . Similarly, Deepa' s marginal utility of pizza is MU} = -2;0.500.5 and her marginal utility of cola is MUS = -2,5050.5. Their initial holdings of pizza and cola are ZA =...
Consider a pure exchange economy with two individuals (A and B) and two goods (x and y). The utility functions are given by UA(xA, yA) = min[xA, yA] UB(xB, yB) = min[xB, yB], where xi and yi are the quantities of the two goods consumed by individual i = A, B. The total endowments are wx = 10 and wy = 5. (a) Represent the indifference curves of both individuals in the Edgeworth box and find the Pareto set. (b)...
1. (19 pts) Adrienne and Deepa consume pizza, Z, and cola, C. Adrienne's utility function is UA = ZĄCA and Deepa' s utility function is U = 295c9S. Adrienne' s marginal utility of pizza is MUZ = CA, and her marginal utility of cola is MUS = ZA. Similarly, Deepa' s marginal utility of pizza is MU] =2,05095 and her marginal utility of cola is MUY =2,5c, 0.5. Their initial holdings of pizza and cola are 2A = 10, CA...
#3-20 points: Consider a 2-person, 2-good economy. Endowments and utility functions are: e(3,2 ( y)y Draw a carefully labeled Edgeworth box diagram showing: a) endowments b) indifference curves through the endowments c) the set of allocations that both agents prefer to the endowments
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2. 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) = 2.c + y and B's utility function is UB(x, y) = xy. A's initial allocation is 10 units of c and 0 units of y. B's initial allocation is 0...
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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...
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...