In Wonderland production per worker (y) depends on capital per worker (3) such the y=10√k. Every year 15% of the capital stock depreciates, while workers in Wonderland save 10% of their income. Every year the population grows at as e of 3% (d) How might Wonderland and Neverland achieve economic growth in the long run?
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- Assume the production function takes the general form: Y=Z*F (K,L,A)where all marginal products are positive.Which 3 of the following statements are correct?a. If A is fixed, then population growth acts as a drag on growth of output per person.b. If A is fixed, then population growth acts as a drag on growth, and so Malthus was correct that populationgrowth will always reverse the impact of technological improvements.c. Both rises in z and rises in K/L (capital intensity) will boost output per worker.d. Growth in output per worker can occur due to rises in z (technology) or rises in K/L (capital intensity), orboth.Many countries, including Pakistan, import substantial amounts of goods and services from other countries. However, economists claim that a country can enjoy a high standard of living only if it can produce a large quantity of goods and services itself. Can you reconcile these two facts? (Maximum 100 words). Given the production function Y= AF (L, K, H, N), explain the determinants of productivity. ( Maximum100 words). Population growth has a variety of effects on productivity. Explain this statement and justify your answer. (Maximum 200 words).A CES production function with physical and human capital Consider the CES production function in terms of physical capital, K, and human capital, H: where 0 a. Set up the Hamiltonian and find the first-order conditions. b. What is the optimal relation between K and H? Substitute this relation into the given production function to get a relation between Y and K. What does this “reduced-form” production function look like? c. What is the steady-state value of the ratio of physical to human capital, (K/H)∗? d. Describe the behavior of the economy over time if the initial condition is such that K(0)/H(0)? e. Suppose that the inequality restrictions IK ≥ 0 and IH ≥ 0 apply. How do these constraints affect the dynamics if the economy begins with K(0)/H(0)∗?
- The graph below represents per-worker production functions for the same country. Answer the following questions using this graph. Which 1 concept explains that the area between B and C has a flatter slope than the area between A and B? Answer: Law of Diminishing Marginal Returns What has to happen for a country to move from point E to B to D? Answer: The movement through which 3 points (out of 5 given) would indicate the largest increase in productivity? Answer:1.Many countries, including Pakistan, import substantial amounts of goods and services from other countries. However, economists claim that a country can enjoy a high standard of living only if it can produce a large quantity of goods and services itself. Can you reconcile these two facts? (Maximum 100 words). 2.Given the production function Y= AF (L, K, H, N), explain the determinants of productivity. ( Maximum100 words). 3.Population growth has a variety of effects on productivity. Explain this statement and justify your answer. (Maximum 200 words).Suppose that the production function of a company is given by q = qL^2 · qC and that the amount of labour qL and the amount of capital qC are functions of time t. At time t = 2, we know that qL = 9 andqC =8 and that the growth rateof qL is equal to 2 and the growth rate of qC is equal to 8. Find the growth rate of the production q at that moment.
- Consider the economies of Hermes and Gobbledigook, both of which produce gobs of goo using only tools and workers. Suppose that, during the course of 20 years, the level of physical capital per worker rises by 4 tools per worker in each economy, but the size of each labour force remains the same. first dropdown question options are (larger or smaller), second dropdown question options are (the brain drain, inward orietned growth, diminishing returns, constant returns, increasing returns), the third dropdown question oprions are (more diffucult or easier)Country A and country B both have the production function Y = F(K, L) = K^0,5L^0,5 A. Does this production function have constant returns to scale? Explain. B. What is the per-worker production function, y = f(k)? C. Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using your answer from part (b) and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker for each country. Theen find the steady-state levels of income per worker and consumption per worker. D. Suppose that both countries start off with a capital stock per worker of 2. What are the levels of income per worker and consumption per worker? Remembering that the change in the capital stock is investment less depreciation, use a calculator or a computer spreadsheet…Write the production function in its simplest form (human capital being included in TFP) and explain the nature of each factor as well the theoretical value of the parameter Alpha. In other words what does the value of Alpha represent regarding the returns of each factors of production?
- Suppose you are given the aggregate production function for an economy and the amount of available technology increases for this economy. If labor and capital constant are held constant, increase in technology will causes labor productivity to decrease. True FalseConsider an economy described by the production function Y=F(K, L)=?^0.4?^0.6 A) What is the per-worker production function?B) Assuming no population growth or technological progress, find the steady-state capital stock per worker, output per worker, and consumption per worker as a function of the saving rate and the depreciation rate.In his 2020 state of Nation address (SoNA) president of South Africa humbly noted that... '' Even if we (the government) were to Marshall every single resource at our disposal, and engage on a huge expenditure of public funds, we would not alone be able to guarantee employment to the millions of people who are out of work ''. and that '' Without growth there will be no jobs, and without jobs there will be no meaningful improvement in the lives of our people ".