The Consumers have these preferences: UA (x1,x2) = min{x1,2x2} UB (x1,x2) = x1+2x2 UC (x1,x2) =...
The Consumers have these preferences:
UA (x1,x2) = min{x1,2x2}
UB (x1,x2) = x1+2x2
UC (x1,x2) = x1x22
Derive the demand functions for goods 1, and 2 for all consumers
Homework Answers
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The Consumers have these preferences:
UA (x1,x2) =
min{x1,2x2}
UB (x1,x2) =
x1+2x2
UC (x1,x2) =...
C. Edgeworth box with non-convex preferences Do this question graphically. Suppose the utility functions for consumers...
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...
Person A and B both have Cobb-Douglas preferences, uA = (x1A)2/5 · (x2A)3/5and uB = x1B...
Person A and B both have Cobb-Douglas preferences, uA = (x1A)2/5 · (x2A)3/5and uB = x1B · x2B . Their endowments are wA = (0, 2) and wB = (4, 0). Find their demand functions and use market clearing to derive equilibrium price for good two, p2 (set p1=1, and enter your answer as a simplified decimal). Solve for the contract curve for the setting described in question 1.). Please write out its equation in the space below.
There are two consumer goods, xi and x2. Consumers all have income given by m, and a utility function U(, x2) = aln(x1)...
There are two consumer goods, xi and x2. Consumers all have income given by m, and a utility function U(, x2) = aln(x1)+In(x2). The price of the two goods are pi and p2 (a) Find the individual demand functions for x1 and r2 (b) The parameter a differs across consumers. Type A consumers have a = 1. Type B consumers have a = 2. If there is one type A person and two type B people, what is market demand...
2. (25%) Consider a consumer with preferences represented by the utility function: u(x1, x2) = min...
2. (25%) Consider a consumer with preferences represented by the utility function: u(x1, x2) = min {axı, bx2} If the income of the consumer is w > 0 and the prices are p1 > 0 and P2 > 0. (a) Derive the Marshallian demands. Be sure to show all your work. (b) Derive the indirect utility function. (c) Does the utility function: û(x1, x2) = axı + bx2 represent the same preferences?
Harry Mazzola has the utility function U(x1,x2) = min{x1+2x2 , 2x1+x2}, if x1>x2, the MRS is?...
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My utility is given by u(x1, x2) = 2x194x2-2 + In(x1) + [min{x1, x2)] + 2x2 + x1!! True, False, or Cannot Be Determined: When P1 = $2,P2 = $4, and I = $100, my optimal consumption bundle is (x1,x2) = (25,15).
Min 2x1 + x2 s.t. x1 + x2 ≥ 4 x1 – x2 ≥ 2 x1...
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2. For the following economies find the set of all efficient allocations: (a) Preferences are u'(x1, x2) = min{x\,...
2. For the following economies find the set of all efficient allocations: (a) Preferences are u'(x1, x2) = min{x\, x2}, u2(x1, 2) = min{x1,X2}. Endowments are i. e! %3D (3,6), е? ii. et %3D (5, 7), е? %3 (15, 3); ii. e' %3D (5, 7), е? %3D (25, 3). (b) As in part (a), but u'(r\, x2) = max{x1, x2} (7,4); 3. Find the Walrasian Equilibrium price(s) and allocations for all the economies in Question 1 and 2
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Max 4x1 - 22 + 2.T3 Subiect to: 2x1 + x2 7 Min 4 + 2x2 - T3 Subject to: x1 + 2x2-6
Max 4x1 - 22 + 2.T3 Subiect to: 2x1 + x2 7 Min 4 + 2x2 - T3 Subject to: x1 + 2x2-6
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. (25%) Consider a consumer with preferences represented by the utility function: u(x1, x2) = min {axı, bx2} If the income of the consumer is w > 0 and the prices are p1 > 0 and P2 > 0. (a) Derive the Marshallian demands. Be sure to show all your work. (b) Derive the indirect utility function. (c) Does the utility function: û(x1, x2) = axı + bx2 represent the same preferences?
My utility is given by u(x1, x2) = 2x194x2-2 + In(x1) + [min{x1, x2)] + 2x2 + x1!! True, False, or Cannot Be Determined: When P1 = $2,P2 = $4, and I = $100, my optimal consumption bundle is (x1,x2) = (25,15).
2. For the following economies find the set of all efficient allocations: (a) Preferences are u'(x1, x2) = min{x\, x2}, u2(x1, 2) = min{x1,X2}. Endowments are i. e! %3D (3,6), е? ii. et %3D (5, 7), е? %3 (15, 3); ii. e' %3D (5, 7), е? %3D (25, 3). (b) As in part (a), but u'(r\, x2) = max{x1, x2} (7,4); 3. Find the Walrasian Equilibrium price(s) and allocations for all the economies in Question 1 and 2
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