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 allocations b) Pareto improving allocations c) The core
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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 allocations
b) Pareto improving allocations
c) The core
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- 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.Jane has 11 liters of soft drinks and 10 sandwiches. Bob, on the other hand, has 9 liters of soft drinks and 10 sandwiches. With these endowments, Jane's marginal rate of substitution (MRS) of soft drinks for sandwiches is 6 and Bob's MRS is equal to 8. Draw an Edgeworth box diagram to show whether this allocation of resources is efficient. If it is explain why. If it is not, what changes will make both parties better off? Part 2 1.) Using the three-point curved line drawing tool, draw an indifference curve for Jane when consuming 11 liters of soft drinks and 10 sandwiches. Label this curve UJ. 2.) Using the three-point curved line drawing tool, draw an indifference curve for Bob when consuming 9 liters of soft drinks and 10 sandwiches. Label this curve UB.Use the Fundamental Theorem of Exchange and draw Edgeworth Box diagrams to show the conditions necessary for an 'efficient' allocation of two goods between two individuals. Use this model to evaluate the statement: "If two individuals have identical endowments of both goods there are no possible gains from trade". Hint: you need to develop your explanation of the theory and the efficiencyconditions step-by-step. You need to draw several diagrams showing Edgeworth Box
- Two individuals, Fred and Helen, are in an economy with no production, and each have the utility function U = 10XY. Prices of both X and Y are set at $1. Initial endowments for Fred are 10 units of X and 6 units of Y. Helen has 8 units of X and 12 units of Y. Find the general equilibrium prices and allocation, then show that the G.E. allocation is Pareto efficient.I need help with this homework problem. Suppose there are two consumers, A and B. The utility functions of each consumer are given by: UA(X,Y) = (X^1/2)*(Y^1/2) UB(X,Y) = X + Y The initial endowments are: A: X = 8; Y = 3 B: X = 4; Y = 5 What is the marginal rate of substitution for consumer A at the initial allocation? What is the marginal rate of substitution for consumer B at the initial allocation? Is the initial allocation Pareto Efficient?Consider a simple two person exchange economy. Ahmad and Maria consume two goods, X and Y. Maria is willing to trade 2 Y for 1 X and Ahmad is willing to trade one Y for 1 X. The government gives Maria 5 X and 5 Y and Ahmad 7 X and 10 Y. Illustrate the situation using an Edgeworth box, labeling all points, axes, and indifference curves. Since you are given numbers, I expect you to use them.
- Please define and draw the utility possibilities curve. On your graph explain what is meant by pareto efficiency. Define social welfare functions. On your graph demonstrate that some efficient points need not be as good, given the social welfare function, as some inefficient points.Amy and Lela have following preferences for apples, pears and bananas where > means "preferred to." Amy: apple > pear > banana Lela: banana > apple > pear Assume there is one apple, one banana and one pear to divide between Amy and Lela and that they have no other goods. For each of the following allocations, say whether it is (Pareto) efficient or inefficient. 1. Amy gets the apple and the pear and Lela gets the banana [ Select ] ["Efficient", "Inefficient"] 2. Amy gets the banana and Lela gets the apple and the pear [ Select ] ["Efficient", "Inefficient"] 3. Amy gets the pear, apple and banana and Lela gets nothing [ Select ] ["Efficient", "Inefficient"]Use the Fundamental Theorem of Exchange and draw Edgeworth Box diagrams to show the conditions necessary for an 'efficient' allocation of two goods between two individuals. Use this model o evaluate the statement: "If two individuals have identical endowments of both goods there are no possible gains from trade". Hint: you need to develop your explanation of the theory and the efficiency conditions step-by-step. You need to draw several diagrams showing Edgeworth Box (rather than drawing one complicated crowded diagram).
- Figure shows the combined production function of Angela and Bruno. If the government introduces a new social welfare program to cater to the poor of the society, wherein the reservation wage increases from 2 bushels of wheat to 6 bushels of wheat how would you model the situation? Draw a new diagram to show the impact of this welfare program and comment on who do you think would benefit from this intervention? Additionally, does the outcome of this intervention results in an allocation which is a pareto efficient one? Explain your reasoning. (Please Make sure your diagram is fully labelled)In an exchange economy, there are two people (Shadi and Nino) and two goods (x1 and x2). Their initial endowments are ωS = (2, 4) and ωN = (3, 6). Their utility is given by the following functions: US(x1,x2) = x12x23 and UN(x1,x2) = x1x24. Which of the following is the equation for the contract curve? Group of answer choices a. x2N = 96x1N / (15 + 4x1N) b. x2N = 47x1N / (8 + 4x1N) c. x2N = 91x1N / 5 d. x2N = 16x1N / (3 + x1N) e. x2N = 41x1N / (9 + x1N)Explain why an economy in which airlines charge different passengers different prices for the same flight will not have exchange efficiency. b. Going back to our two good (Apples, Oranges), two person (Ed, Mary) economy, suppose that at a given allocation, Ed’s MRSAO is 3 and Mary’s MRSAO is 1. Use proof by contradiction to show that this allocation is not exchange efficient. Identify a trade that will increase the utility of Ed and Mary. Explain. Show this graphically (with indifference curves). Going back to our two good (Apples, Oranges), two person (Ed, Mary) economy, suppose that at a given allocation, Ed’s MRSAO is 3 and Mary’s MRSAO is 1. Use proof by contradiction to show that this allocation is not exchange efficient. Identify a trade that will increase the utility of Ed and Mary. Explain. Show this graphically (with indifference curves).