16.18. Two firms together employ 20 units of labor and 12 units of capital. For Firm 1, which uses 5 units of labor and 8 units of capital, the marginal products of labor and capital are MP11 = 20 and MP1K = 40. For Firm 2, which uses 15 units of labor and 4 units of capital, the marginal products are MP21 = 60 and MP2K = 30. a) Draw an Edgeworth box for inputs that shows the allocation of inputs across these two %3D firms. b) Is this allocation of inputs economically efficient? Why or why not? If it is not, identify a reallocation of inputs that would allow both firms to increase their outputs.
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- 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)Mubita and Akakulubelwa live in the Liuwa national park in Westen Province of Zambia. They consume only two goods, wild fruits (W) and game meat (G). Currently Mubita consumes 10W’s and 5G’s, while Akakulubelwa consumes 3 W’s and 9 G’s. Mubita’s Marginal rate of substitution for W to G is one and Akakulubelwa’s Marginal rate of substitution is 0.5. Is the allocation provided above Pareto efficient? If so, explain why. If not, show a possible Pareto efficient allocation. If there was a competitive market for each type of posters, would these markets produce Pareto efficient allocation?a pareto efficient allocation should always be on the contract curve . Discuss this sentence
- 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)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)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 them
- 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?Is point E Pareto efficient allocation? Explain your answer.
- Show an allocation that does not satisfy distributive efficiency and find an allocation that is Pareto superior to it.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.Define what we mean by Pareto optimality and given an example of a Pareto optimal allocation