There are 2 firms (i = 1,2) in an economy, which use capital only to produce final output. The production function for Firm i takes the following form: Y; = A¿K}/2 (1) Assume that Aı = 1 and A2 = 2, and there are 5 units of capital in this economy. What is the optimal allocation of capital between these two firms?
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- Alice can produce goods X and Y. It takes her 1 hour of labor to produce 2 units of X. It takes 2 hours of labor to produce three units of Y. If Alice divides four hours of her time between the two tasks, which of the following (X, Y) allocations are efficient? Could be more then one answer. (3, 4) (8, 0) (4, 3) (5, 1)Consider the figure attached below which shows the combined production function of Anna and Bob. Assume a case where Anna works on the land owned by Bob. By referring to the diagram above, explain how does Anna ranks the possible allocations marked as X, Y, Z and A according to production functions and their curves and slopes ? Question is completeWhat does the Pareto efficiency criterion state? A. An allocation of resources is efficient if it maximizes government revenue B. An allocation of resources is efficient if it maximizes producer surplus C. An allocation of resources is efficient if it is impossible to make someone better off without making someone else worse off D. An allocation of resources is efficient if it allocates resources equally among all individuals
- Consider the figure attached which shows the combined production function of Anna and Bob.Suppose a scenario where the Government has introduced 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. 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. (Make sure your diagram is fully labelled)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.Consider an economy that has a labor endowment of L = 40 units. The production functions are x = 0.5L, and y = 4Ly, where x and y are consumption goods while L, and Ly represent the labor allocation. What is the equation for the PPF? 8x + y = 160 6x + 2y = 80 6x + y = 120 8x + 2y = 80
- Why is the production possibility frontier concave? Be sure to explain economic intuition behind that fact.10. In terms of Adam Smith’s concept of the invisible hand, an efficient overall allocation of resources is likely to result from?Come up with an example with four agents and four items in which there is only one Pareto efficient allocation
- “How to allocate limited resources in an efficient way (as emphasized in an introductory economics course)?” Explain how the topics covered in this course can help address this issue. [Hint: One useful starting point is the role of NPV (decision rule) in addressing the resource allocation issue.]Consider the figure attached which shows the combined production function of Anna and Bob.Suppose Government has introduced 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. 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. (Make sure your diagram is fully labelled)An exchange economy consists of two individuals and two goods. The two individuals have the following Leontief utility functions: Person 1: U1(x1, y1) = 3x1 + y1 Person 2: U2(x2, y2) = x2 + 2y2 Person 1 has an endowment of e1 = (3, 2). Person 2’s endowment is e1 = (3, 4). In an Edgeworth Box diagram, show which allocations are in the core. Describe 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). What price ratio(s) P* will support a competitive equilibrium allocation for this economy?