Consider the following production (in per capita terms): For capital stocks between 0 and 10, y, = 0.5 - k: For capital stocks equal and above 10, y; = 5 a Graph the production function in per capita terms (where y; is in the vertical axis and k, in the horizontal axis). b. Graph the average product of capital y:/k; as a function of k.
Q: Consider the following production (in per capita terms): For capital stocks between 0 and 10, y; 0.5…
A: Answer: Given, Production function: yt=0.5×kt for 0<kt<10yt=5 for kt>10 (a). The graph…
Q: . If output is described by the production function Y = AK0.2L0.8, then the production function has:…
A: This is the cobb Douglas production function - In order to depict the technological link between…
Q: Using the production function Real GDP = T (L, K), define the term production function and describe…
A: Production Function Production function can be defined as an economic equation which shows…
Q: If country A produces 6,000 units of goods and services using 600 hours of labor, and country B…
A: Productivity: In an economy, productivity is the units that are produced in a certain time period.…
Q: The “per person” versions of production functions: Write each productionfunction given below in…
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…
Q: In the Specific Factors Model, assume that in Country A, "wheat" is produced by using land and…
A: In the specific factor model, the inputs can be classified as mobile and immobile factors. The…
Q: In 2000 GDP per capita was 18.3, capital/output was 3.3, human capital was 4.8. In 2010 GDP per…
A: The relationship between production output and production inputs is represented by a Cobb-Douglas…
Q: The following graph shows a variety of possible production functions (PFs) in an imaginary economy,…
A: It has been assumed that human capital and technology is at constant levels.
Q: An economy is characterized by the following relations: Y = F(K,AL) = Kª(AL)1-a : Production…
A: Since the question you have posted consists of multiple parts, we will answer the first three parts…
Q: Suppose China has a production function of the form: GDP per worker = Tx (physical capital per…
A: Here, production function of China is given in terms of technology physical capital and human…
Q: Show that, when using a traditional economic production function, doubling our population can…
A: Traditional Economic production function : Q = AKαLβ Q(K,L) = AK1/2L1/2 The initial level of…
Q: Given the equation of Q = min(4K,8L), how much output is produced when 2units of labor and 5 units…
A: Given: Q=min(4K,8L) Labor=2 units Capital=5 units
Q: The outputs per laborer per day in the production of computers and autos in Nation 1 and in Nation 2…
A: c. Nation 2 had comparative advantage in the production of computers. So, only national 2 can…
Q: On January 1, 2026, each of Boblandia's 100 workers has $2 in physical capital. Over the course of…
A:
Q: Consider a closed economy with the following production function. Y=K0.SN0.5. Let the evolution of…
A: Ghd
Q: Question 1. capital is 0.3. If capital grows by 1%, labour grows by 2% and growth of total factor…
A: Answer 1) Capital + Labor = 10.3 + Labor = 1 Labor = 1 -0.3 = 0.7
Q: Imagine that if you decide to build a factory for real investment in Home or in For- eign country.…
A: The equilibrium situation is given by the equality of return on capital goods in both the home…
Q: In macroeconomics, the connection from inputs to outputs for the entire economy is called…
A: Aggregate demand refers to the total amount of goods and services that are produced and are ready…
Q: Suppose the total production is 1200 bushels of corn and 1000 tons of steel. Then, • the US is…
A: Opportunity cost is the cost incurred when one good has to be given up for the production of another…
Q: Imagine two countries, i and j. You have the following information: si = 2 sj hi= hj 2Ai = Aj What…
A: Given, There are two countries "i" and "j" Income is defined as money or the equivalent value that…
Q: Write the production function (human capital (H) is included in TFP) and the logarithmic form of…
A: Total production function shows the how each inputs determine the total output For example,…
Q: The production function for an economy is Y; = 1.5 K;ª L¢(1«), where Y; is total output, Ke is total…
A: (A) Yt= 1.5 kα L1-αYt= 1.5 kα ⇒St= 0.2Yt (B) Fundamental equation of solow swan model is Sy = (n+d)k…
Q: Which of the following statements about labour productivity (Y/L), also known as the average product…
A: Labour Productivity Labour productivity is defined as actual production per labor hour, and the…
Q: 14.Assuming Portugal has 180 man-hours (mhrs) of labor resource available for production, and labor…
A: Production Possibility Frontier (PPF) is the indication of the various Possibilities of production…
Q: Suppose a country has a population of 120 people, a working-age population of 100 people, its labor…
A: Labor Force Participation rate is the proportion of people eligible to participate in the labor…
Q: Labor productivity can best be defined as the ratio of workers in the economy to the population. the…
A: Answer (1); option d (the ratio of the output of goods and services to the labor hours devoted to…
Q: ens to this production function if there is a technological advancement in this economy.
A: The technological change operates upon the function of production through improvements including an…
Q: Provide the complete sketch of Homogeneous production function, supporting your answer…
A: In microeconomics, a firm’s production function represents the technology that shows how much output…
Q: (a.) By what percentage did productivity grow from 2010 to 2020? (b.) If output had…
A: Productivity is the ratio between the output and input volume of goods and services.
Q: Question 7 According to the production model, what happens if there is an increase in total factor…
A: "Since you have asked multiple questions, we will solve first question for you .. If you want any…
Q: In Wonderland production per worker (y) depends on capital per worker (3) such the y=10√k. Every…
A: The question is related to the Solow model of economic growth.
Q: Suppose the production function in an economy is Y = KULOS, where K is the amount of capital and L…
A: d. New output can be calculated as follows. The capital is 25 units. Population is increases to four…
Q: Find the attached file.
A: 1) the production function is the boundary of the production set . where the production set is the…
Q: Labour-saving technical progress means a) that marginal productivity of capital increases. b) that…
A: Productivity means the ratio of output to inputs. The rise in output increases productivity and the…
Q: Farmland is a developing country with the following production function: Y = 24L2/3K1/3 with Y =…
A: The production function is that function which shows the relationship between output produced by the…
Q: A country has a Cobb-Douglas production function given by: Y = AK0.5H0.3 If total factor…
A: Answer: (1). Given, Production function: Y=AK0.5H0.3 Total factor productivity (A) = 40 Human…
Q: Question 4 Classify each of the following as a movement along or a shift of the production function…
A: Hi Student, Thanks for posting the question. As per the guideline, we are providing answer for the…
Q: Write the production function in its simplest form (human capital being included in TFP) and explain…
A: The production function depicts the relationship between input and output.
Q: Suppose you are given the aggregate production function for an economy and the amount of available…
A: Increase in technology is also a factor that determine the productivity of labour.
Q: A productivity increase is illustrated by a shift in the production function a. upward. b.…
A: Productivity measures the efficiency of production. An increase in productivity means more goods can…
Q: An economy is characterized by the following relations: Y = F(K,AL) = Kª(AL)1-a : Production…
A: Since the question you have posted consists of multiple parts, we will answer the first three parts…
Q: As an alternative to the story of Robinson Crusoe, macroeconomists use the "aggregate production…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Classify each of the following as a movement along or a shift of the production function and provide…
A: To explain about the movement and shift in the production function, it is necessary to understand…
Q: Ecuador's economy has a production function that is as follows: Y = K2/5L3/5 The men in Ecuador…
A: Capital per worker and output per worker are positively related. An increase in capital per worker…
Q: Consider the production functions shown here, which show the output of a bakery over time. Suppose…
A: Production function shows input-output relationship that is creation of output by employing factors…
Q: Suppose an aggregate production function of the form Y=aKY=aK, at what capital- labour ratio can a…
A:
Q: The following graph shows a variety of possible production functions (PFs) in an imaginary economy,…
A: It is given that technology and human capital is at constant level.
Q: At some point, if all factors of production are being used, it becomes impossible to generate…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- The “per person” versions of production functions: Write each productionfunction given below in terms of output per person y ; Y/L and capital perperson k ; K/L. Show what these “per person” versions look like in a graphwith k on the horizontal axis and y on the vertical axis. (Assume A is somefxed positive number.)(a) Y = K 1/3L2/3 and Y = K 3/4L1/4 (on the same graph) (b) Y = K(c) Y = K + AL(d) Y = K − ALYear 1960 1980 Argentinal 2018 $5,643 Percentage of Real GDP per 1960 2018 capita real real (2010 GDP GDP dollars) per per capita capita 7,908 ? 2000 8,224 ? The accompanying table shows data from the World Bank, World Development Indicators, for real GDP per capita in 2010 U.S. dollars for Argentina, Ghana, South Korea, and the United States for 1960, 1980, 2000, and 2018. 10,044 ? ? ? ? C Ghana Real GDP per 1960 capita real (2010 GDP dollars) per Percentage of 881 $1,056 ? 952 capita ? ? 1,807 ? 2018 real GDP per capita ? ? ? 2. South Korea Real GDP per capita (2010 dollars) $944 Percentage of 15,105 1960 real GDP per capita ? 3,700 ? ? 26,762 ? 2018 real GDP per capita ? ? ? ?C I G NX Price Yr1 1000 156 560 52 4 Yr2 1300 159 600 52 5 Yr3 2000 169 690 53 6 Yr4 2900 180 880 53 7 Population Yr1 2 Yr2 2 Yr3 3 Yr4 3 Using the information above: State what real GDP per capita will be for all four years. (round to the whole number for all calculations and final answers) State what the change in real GDP per capita will be from year 1 to…
- 1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.Consider the production productivity matrix of two goods from the US and India: United States of America India Labor force 200 800 Labor per unit corn 8 50 Labor per unit automobile 10 40 4. How many units of automobiles will the US produce should it exhaust half of its labor force to produce automobiles? Group of answer choices 20 10 25 Not enough data 5. How many units of automobiles will India produce should it exhaust all its labor force to produce automobiles? Group of answer choices 20 16 25 12Consider the following production (in per capita terms): For capital stocks between 0 and 10, y; = 0.5 k: For capital stocks equal and above 10, y; = 5 a. Graph the production function in per capita terms (where y, is in the vertical axis and k; in the horizontal axis). b. Graph the average product of capital y:/k; as a function of ke
- Table 3-2 Hours Needed to Make 1 Unit of Number of Units Produced in 20 Hours Pastrami Milk Pastrami Milk England 1 4 20 5 France 5 2 4 10 Refer to Table 3-2. Assume that England and France each has 20 labor hours available. If each country divides its time equally between the production of cheese and wine, then total production is a. 12 units of pastrami and 7.5 units of milk. b. 20 units of pastrami and 12 units of milk. c. 12 units of pastrami and 20 units of milk. d. 20 units of pastrami and 7.5 units of milk.J 7 Given a production function Yt = AKt1 /3L2 /3 , if K0=8, A = 2, L = 4, s = 0.2, and d = 0.05: (a) Calculate the steady-state level of capital and output. (b) Calculate K1 , I 1 , Y1 and C1 .Consider the production productivity matrix of two goods from the US and India: United States of America India Labor force 200 800 Labor per unit corn 8 50 Labor per unit automobile 10 40 1. How many units of corn will the US produce should it exhaust all its labor force to produce corns? Group of answer choices 20 16 25 Not enough data 2. How many units of corn will India produce should it exhaust 3/4s of its labor force to produce corns? Group of answer choices 20 16 25 12 3. Between the USA and India, which country has a comparative advantage in the production of automobiles? Group of answer choices India USA None of the countries Not enough data 4. How many units of automobiles will the US produce should it exhaust half of its labor force to produce automobiles? Group of answer choices 20 10 25 Not enough data 5. How many units of automobiles will India produce should it exhaust all its labor force to produce automobiles? Group of answer…
- 2. An economy has a production function: Y 3KtLt. (1) The economy has a saving rate of 24 percent, a depreciation rate of 3 percent, 1 for all period (no population growth). and Lt Yt Lt (a) What is the per-worker production function, yt f(kt)? Define yt Ки Lt and kt (b) Find the equation for the evolution of capital per worker in terms of kt and kt+1 (c) Find the long-run growth rate of output per worker. Now the economy has the following production function: Y 3Kt (2) but savings rate, depreciation rate, and population remain the sameSuppose that 10 workers were required in 2010 to produce 40,000 bushels of wheat on a 1,000-acre farm. a. What is the average output per acre? Per worker? b. If in 2020 only 8 workers produce 44,000 bushels of wheat on that same 1,000-acre farm, what will be the average output per acre? Per worker? c. By what percentage does productivity (output per worker) increase over those 10 years? Over those 10 years, what is the average annual percentage increase in productivity?YIN CN Next question Suppose that the production function is given by Y- 05VR N 454 where Y is output, Kis capital, and N is the number of workers 4 Suppose that 60 05 With your favonte spreadsheet software, compute steady-state output per worker and steady-state consumption per worker for s 0, 801, a02, s1 Graph the steady-state level of output per worker and the steady-state level of consumption per worker as a function of the saving rate 25 1) Using the multipoint curve drawing tool, drawa curve showing the relationship between YIN and the saving rate. Properly label your curve 15 2) Using the multipoint curve drawing tool, draw a curve showing the relationship between CIN and the saving rate. Properly label your curve 0.5 Although the control ponts for your multpownt curves do not have to be exact try to plot them as accurately as possible 01 02 03 a'4 os o6 07 os 09 Saving rate, At what saving rates are YIN and CIN maximized? After plotting the final point of your multipoint curve…