Assume an aggregate production function where Y=(L^0.6)*(K^0.4). Then it must be true that. O a. the share of capital income in total income is 40%. O b. increasing the ratio of capital to labor will reduce the marginal productivity of labor. O C. the production function exhibits increasing returns to scale.
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- Consider the production function Y = K1/2 N12 a. Compute output when K = 49 and N = 81 %3D b. If both capital and labor double, what happens to output? c. Is this production function characterized by constant returns to scale? Explain. d. Write this production function as a relation between output per worker and capital per worker. e. Let K/N = 4. What is Y/N? Now double K/N to 8. Does Y/N double as a result? f. Does the relation between output per worker and capital per worker exhibit constant returns to scale? g. Is your answer to f. the same as your answer to c.? Why or why not?Units of Units of Labor, L Capital, K 1 2 3 4 1 50.0 66.7 75.5 80.0 2 66.7 100.0 120.0 133.3 3 75.0 120.0 150.0 171.4 4 80.0 133.3 171.4 200.0 This table illustrates a production function because capital and labor long-run; are used in equal increments short-run; can both be varied O long-run; can both be varied short-run; are used in equal incrementsAccording to the law of diminishing returns, along the aggregate production function, an additional unit of Select one: O A. labour decreases output. OB capital produces more output than an additional unit of labour. O C. labour produces less output than the previous unit. O D. labour increases the real wage rate. O E. labour produces more output than the previous unit.
- The 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 outwardsTrue or False: The shape of the production function reflects the law of increasing marginal returns. O True O FalseWhich of the following production functions does NOT exhibit constant returns to scale? O a. Y = (L^1/2)*(K^1/2) O b. Y=KL O c. All of the other choices exhibit constant returns to scale. O d. Y = 2K + 2L
- A firm invests $125 million in a new manufacturing plant in your country. What would be the impact on the country's production function? Select one: O a. shift outwards O b. movement upwards along the same curve O c. shift inwards O d. movement downward along the same curve O e. remain unchangedSuppose the inputs of labour and capital each increase by 8% and output also increases by 8%. The production function exhibits_ returns to scale technology. a. Constant O b. Increasing O c. Decreasing O d. ZeroHow does the slope of the production function illustrate diminishing returns? The slope of the production function becomes steep as the quantity of increases because of diminishing returns. O A. more; capital OB. more; labor O C. less; labor O D. less; capital Click to select your answer.
- Assuming a Cobb-Douglas production function with constant returns to scale, then, as L rises with K and A constant, it will be the case that: a. Both the marginal product of labour and the marginal product of capital will fall b. The marginal product of labour will fall and the marginal product of capital will rise c. Both the marginal product of labour and the marginal product of capital will rise d. The marginal product of labour will rise and the marginal product of capital will fallIn each blank type increasing, decreasing or constant to describe the returns to scale of the given production function. 1 a. The production function Q 3 = 3L°K exhibits returns to scale. b. The production function Q = LK? exhibits c. The production function Q = 3L +K exhibits returns to scale. %3D returns to scale.Consider the production function Y=K1/2 N1/2 a. Compute output when K=37 and N=80 b. If both capital and labour double, what happens to output? c. Is this production function characterized by constant returns to scale? Explain. d. Are there decreasing returns to capital? Explain. e. Are there decreasing returns to labour? Explain. f. Write this production function as a relationship between output per worker and capital per worker. Show all your work. g. Let capital per worker be 6. What is output per worker? Now, double capital per worker to 12. Does output per worker more or less than double? h. Does the relation between output per worker and capital per worker exhibit constant returns to scale? Explain/show your work