Assume a two-good production economy characterized by the production functions: Q1 = K1 1/2L1 1/2 and Q2 = K2 + L2 With fixed total endowments of 100 for both K and L. Derive the production possibilities frontier for this economy and provide a graph
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Assume a two-good production economy characterized by the production functions: Q1 = K1 1/2L1 1/2 and Q2 = K2 + L2 With fixed total endowments of 100 for both K and L. Derive the
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- 3 Consider a pure exchange economy with 2 consumers and 2 goods. Consumer ? owns 8 units of good 1 and 1 unit of good 2, and his preference is represented by the following utility function: uA(x1, x2) = x1*x2. Consumer ? owns 2 units of good 1 and 4 units of good 2, and his preference is represented by the following utility function: uB(x1,x2)=x1+x2. Assume that the two consumers are allowed and able to trade with each other, and that good 1 is the numeraire. In this case, both consumers act as price-takers. Price takers: a market participant that is not able to dictate the prices in a market. Therefore, a price taker must accept the prevailing market price. Please find the competitive equilibrium of this pure exchange economy.Give typing answer with explanation and conclusion Consider an exchange economy consisting of two people, A and B, endowed with two goods, 1 and 2. Person A is initially endowed with ωA = (0,10) and person B is initially endowed with ωB = (11,0). They have identical preferences, which are given by U^A(x1,x2) = U^B(x1,x2) = x1^2*x2. Suppose that p2 =1. Under the competitive equilibrium, what is p1? Round answers to two decimal places.Suppose country A has 5000 units of capital and 2000 units of labor while country B has 6000 units of capital and 3000 units of labor: A: Which country is capital abundant and which one is labor abundant? Explain! Now suppose the production one unit of good X requires 3 units of capital and 2 units of labor and the production of one unit of good Y requires 6 units of capital and 3 units of labor. B: Which good is the capital intensive good and which one is the labor intensive good? Explain!! C: Which country should specialize in and export good X and which country should specialize in and export good Y. Explain!!! D: Using appropriate graphs, demonstrate that trade is beneficial if two countries have identical technology but different preferences. Does a country specialize in producing the good where they have the strongest preference? Explain DO D Foe answers for A, B and C -…
- Suppose country A has 5000 units of capital and 2000 units of labor while country B has 6000 units of capital and 3000 units of labor: A: Which country is capital abundant and which one is labor abundant? Explain! Now suppose the production one unit of good X requires 3 units of capital and 2 units of labor and the production of one unit of good Y requires 6 units of capital and 3 units of labor. B: Which good is the capital intensive good and which one is the labor intensive good? Explain!! C: Which country should specialize in and export good X and which country should specialize in and export good Y. Explain!!! D: Using appropriate graphs, demonstrate that trade is beneficial if two countries have identical technology but different preferences. Does a country specialize in producing the good where they have the strongest preference? ExplainD7) In a two good two consumer economy, utility functions are U1(x1,x2) =x1(x2)2 and U2(x1,x2) = (x1)2 x2 The endowments of the consumers are e1 =(10,0) and e2=(0,20). Find the allocation of goods in Walrasian equilibrium.Consider a two-good two-consumer exchange economy where u1 = X1Y1 and u2 = X2Y2, endowment of person 1 = (3, 4) and endowment of person 2= (2, 2). Setting the price of good Y to one (Py = 1), what is the price of good X in the competitive equilibrium? 01 0 6/5 O 3/5 O 3/2
- Using the appropriate diagram(s), explain briefly why the third general equilibrium efficiency condition (i.e. MRSxy = MRPTxy, where x and y are any two products), that connects consumption and production, must hold.Can you help me with this question. Im finding it quite difficult. In a two-good economy there are two equal-sized groups of people: type a have preferences given by 2 log(xa1) + log(xa2) and type b have preferenceslog(xb1)+2log(xb2) where xhi means consumption by a type h person of good i. The division of property is as follows: each a-person has an endowment of (30, k) units of the two goods; each b-person has an endowment of (60, 210−k) units, where k is some given number between 0 and 210. Assume that there is no production and that people can freely exchange goods to maximise their utility. If there is a competitive equilibrium, what are the individuals’ incomes (ya, yb) in equilibrium as a function of k?1.) In an endowment economy with market exchange, let two consumers have preferences given by the utility function U^{h}=(x_{1}^{h})^{a}*(x_{2}^{h})^{1-a}for consumer h (1,2) with endowments given by\omega _{1}^{1}=6, \omega _{2}^{1}=4, \omega_{1}^{2}=4, and \omega_{2}^{2}=6. a.) Calculate the consumers' demand functions. b. Selecting good 2 as the measure of value (i.e. p2=1) and with alpha=1/4, find the equilibrium price of good 1 which implies equilibrium levels of consumption of both goods for both consumers. c. Demonstrate whether both consumers' indifference curves are tangential at the equilibrium. Demonstrate whether both consumers' indifference curves are tangential at the initial endowment.
- Consider an economy that produces only two goods: Food and Clothing. The use of the resources of this economy produces monthly according to the table below: Alternative Clothes Foods A 0 9 B 3 7 C 5 4 D 6 two D 7 0 Ask if: a) Graph the production possibility curve of this economy b) Considering the same factor endowment in this economy, how would it be possible to increase the production of goods? c) Comment on the fact that this economy is actually producing 3 units of clothing and 5 of food d) Indicate the opportunity cost of situations A and CQ.4. Do you think that the pure market economy in these circumstance of COVID 19 play an effective role in economy? Give four evidences from your point of view.Problem 5 Consider an exchange economy with two people: Will and Bob; and two goods: apples and bananas. Will's initial endowment is 10 apples and 5 bananas. Bob's initial endowment is 5 apples and 10 bananas. Will likes apples and hates bananas. Bob likes both apples and bananas. The preferences of both Will and Bob are strictly convex. (a) Draw an Edgeworth Box with apples on the horizontal axes. Put Will at the bottom left corner and Bob at the top right corner. Show the initial endowment and label it with W.