Find all Pareto optimal allocations, the egalitarian allocation and the competitive equilibrium with equal incomes for the following problems. 1 Ann and Bob need to divide 4 items. Their preferences are as follows: Y W Ann 25 25 25 25 Bob 10 20 30 40
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- Q. It is possible to have a Pareto efficient allocation where everyone is worse off than they are at an allocation that is not Pareto efficient?Explain the statement true or false. Give an example to explain your answer. "It is possible to have a Pareto efficient allocation where someone is worse off than she is at an allocation that is not Pareto efficient"1. Suppose in an economy there are only two individuals; Shakib and Tamim. They only have two products; Biriyani and Tehari. Shakib and Tamim’s endowment allocations are the following: wS = (10, 2) and wT = (4, 5).The first number represents the quantity of Biriyani and the second number represents the quantity of Tehari. Using a diagram, explain the following concepts:a) Endowment allocationsb) Pareto improving allocationsc) The core
- Explain the statement true or false. Give an example of pay-off matrix to explain the solution. "It is possible to have a Pareto efficient allocation where someone is worse off than she is at an allocation that is not Pareto efficient"Kindly help on these two question... The result that every competitive equilibrium is pareto efficient. a) the second fundamental theorem of welfare economics. b) Edgeworth's condition c) The first fundamental theorem of welfare economics d) Waras's law 2) Assume that there are two consumers ( A and B) in an economy that have preferences that can can be represented as cobb-douglas utility functions. Also assume that there are two firms that have concave production possibility frontiers over goods x and y . Which of the following conditions must be true for an allocation to be distributivity efficient? Select all that apply. a) all goods in the economy are consumed. b) producers must be operating on their production possibilities frontier. c) all consumers must have marginal rates of substitution that are equal. d) all producers must have marginal rates of transformation that are equal . e) consumers must value goods at the margin at the same rate it costs society to produce themIs point E Pareto efficient allocation? Explain your answer.
- Explain the statement true or false. Give an example of a person's economic situation to explain the solution. "It is possible to have a Pareto efficient allocation where someone is worse off than she is at an allocation that is not Pareto efficient"4. Aaron and Burris have the following utility functions over two goods, x and y. Aaron’s utility function: UA(xA, yA) = min{xA/3, yA} Burris’s utility function: UB(xB, yB) = 9xB + 3yB Aaron’s endowment is eA = (2, 4). Burris’ endowment is eB = (10, 8). In an Edgeworth Box diagram, show which allocations are in the core. Solve for the set of Pareto optimal allocations (i.e. the contract curve) in the Edgeworth Box. Illustrate the contract curve in an Edgeworth Box diagram. Let good y be the numeraire (i.e. set py = 1 and let px = p). Solve for the Walrasian competitive equilibrium allocation and price ratio.Suppose the economy has 100 units of labor (L) and 100 units of capital (K), and it chooses to allocate three times more labor and capital in the production of good X than in good Y. Suppose also that the production of goods X and Y are represented by the following functions: X = LX0.25KX0.25; Y = 2LY0.25KY0.25. Compute for Lx, Ly, Kx and Ky Calculate the MRTSLK of each firm Is this allocation efficient? How so? How many unit of X and Y will be produced? Suppose the utility function of the two individuals in the economy is given by UA = 2XA0.5YA0.5 ; UB = XB0.5YB0.5 and X and Y are allocated equally between the two individuals. Compute for XA, YA ,XB ,YB Calculate the MRSXY of each individual Is the allocation efficient? How so? Determine if at the current allocation, the efficiency in optimal mix attained. Compute for MRTXY What is the MRSXY? Is optimal mix efficiency attained? How so?
- Suppose the economy has 100 units of labor (L) and 100 units of capital (K), and it chooses to allocate three times more labor and capital in the production of good X than in good Y. Suppose also that the production of goods X and Y are represented by the following functions: X = Lx0.25Kx0.25 Y = 2LY0.25KY0.25 Compute for Lx, Ly, Kx and Ky Calculate the MRTSLK of each firm Is this allocation efficient? How so? How many units of X and Y will be produced?Question 3 In the Walrasian world, Pareto optimal allocations are crucial in establishing an equilibrium outcome with respect to welfare. Give an exposition of the two Welfare Theorems, demonstrating also that they are Pareto efficient.Consider two people in the market for tilapia, Reagan and Cheryl. The marginal benefit curves for both individuals are shown in the accompanying graph. a. Suppose the market price of tilapia is $2.00 per pound. Move point A to Cheryl’s quantity purchased. Move point B to Reagan’s quantity purchased. b. How many pounds of tilapia do they collectively purchase? _________ pounds c. To achieve an efficient allocation, Cheryl should purchase _______(more tilapia than, the same amount of tilapia as, less tilapia than) she is currently purchasing, and Reagan should purchase ________ (more tilapia than, the same amount of tilapia as, less tilapia than) she is currently purchasing.