1 1 09. Consider a production function of the form y=AK2 L2 where y is units of output, K is units of capital and L is the number of people employed. If A = 50 and K = 100, how much additional output will be produced if employment increases from 16 to 64? a. Output will increase by 24,000 units b. Output will increase fourfold. c. Output will increase by 160% d. Output will double
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- Time The government increases the funding to new start-ups. What would be the impact on the country's production function? Select one: movement upwards along the same curve O b. movement downward along the same curve shift outwards d. remain unchanged O e. shift inwards Next age this page1. Assume the following Cobb-Douglas production function: Y = 0.5K°.2 10 .8 If L=100, a. What is the marginal product of capital?e b. With your answer in (a), can you prove diminishing marginal product of capital?- c. Estimate real capital incomeeThe government increases the funding to new start-ups. What would be the impact on the country's production function? Select one: O a. shift inwards O b. movement downward along the same curve O. remain unchanged O d. movement upwards along the same curve O e. shift outwards
- The following data gives real GDP (Y), total factor productivity (A), and Capital (K), for two years. A K 1 25 1.1 81 Year 1980 1990 Y 400 990 Assume the production function is Y-AK0.5 0.5. By what percentage did labor grow between 1980 and 1990? Op. 40.75% Ob. 20.15% O c. 96.00% d. 56.25%Suppose the production data of XYZ company mentions labor (L) as a variable input and machine (K) as a fixed input. Complete the table as XYZ increases its number of laborers (L). L TP MP AP 1 100 100 100 2 220 120 110 3 270 1) _____ 90 4 270 2)_____ 3)_____ 6 4)_______ 5)_____ 50 8 180 6) ____ 7) ____13. A firm's only variable factor is labour and it produces a single product, X. It also has fixed costs. The short-run production function is; X-0.1L+ 6L? + 12L. Where X is the output in tons, and L is the number of persons employed. a. How many persons are employed if the average physical product of labour is maximized? b. How many persons are employed if the marginal physical product of labour is maximized? c. What is the quantity of X when average variable cost is minimized?
- A new highway linking two major towns is constructed. What would be the impact on the country's production function? Select one: a. shift inwards O b. remain unchanged Ocmovement downward along the same curve O d. shift outwards e. movement upwards along the same curve Next page age n this page e here to searchY=10.KO.5 L0.5 K starts at 500, L at 50, Investment 0.10Y, Depreciation 0.05K An alien invasion leads to a reduction in labour to 25 but no capital is damaged. What happens to the marginal product of labour? Increase O stays the same DecreaseDraw an example production function in terms of output and capital.GIVE 2 specific properties which define its shape; explain these usingthe definition and properties of MPK.
- 70,0001 Norway 60,000 United States 50,000- Netherlands Denmark •. Germany France 40,000- :UK South Korea Jарan. Italy" • Spain 30,000- Greece Russia 20,000- Mexico Chile Turkey 10,000- 0. 6,400 6,500 6,600 6,700 6,800 6,900 7,000 7,100 7,200 7,300 7,400 7,500 Average annual hours of free time per worker According to the graph: Select one or more: а. UK workers have more free time than Greek workers. b. UK workers have lower GDP per capita than Spanish workers. O c. The relationship between GDP per capita and free time is downward sloping. d. US workers work longer hours than French workers. GDP per capita (USD PPPS)The relation between technology and the quantity of factor inputs to Real GDP is specified by the production function. O True O False Note:- Please avoid using ChatGPT and refrain from providing handwritten solutions; otherwise, I will definitely give a downvote. Also, be mindful of plagiarism. Answer completely and accurate answer. Rest assured, you will receive an upvote if the answer is accurate.Suppose the production function in an economy is Y = K0.SL05, where K is the amount of capital and L is the amount of labor. The economy begins with 25 units of capital and 25 units of labor. Round answers to two places after the decimal when necessary. a. How much output does the economy produce? units of output