The share of health in employment grows while the share of health in GDP falls

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These are multiple choice. Could you please give an explanation for why an answer is correct? 1. If, in an economy, we observe that the labor share of income is constant at 50%, and the capital share of income is constant at 50%, would you conclude that: A) The production function has constant returns to scale. B) There are no economic profits. C) The marginal product of labor is proportional to output per hour. D) All of the above. 2. The share of labor income in national income has been a stable 2/3 in the United States. Which production function is consistent with this fact: A) Y = AK^(2/3)L(2/3) B) Y = K^(2/3)(EL)^(1/3) C) Y = AK^(1/3)L^(2/3) D) Y = AK^(2/3)L^(1/3) 3. Assume that four countries have a Cobb-Douglas production function: Y=K^aL^(1-a), where Y is output, K is capital and L is labor. In which country is the real wage higher? A) In country A, where the capital income share (a) is 0.7, and L=K=100. B) In country B, where the capital income share (a) is 0.3, and L=K=100. C) In country C, where the capital income share (a) is 0.3, and L=100, K=50. D) In country D, where the capital income share (a) is 0.7, and L=K=50 4. In an economy, the marginal product of labor is growing at 2% per year, while output per worker is growing at 3%. Is the labor share of income in this economy: A) Growing. B) Falling. C) Constant. D) Not enough information. 5. If the next great structural transformation in the U.S. economy is into the health sector, would you expect that over the next twenty years: A) The share of health in GDP grows, and the share of employment in health grows even faster. B) The share of health in employment grows, and the share of health in GDP grows even faster. C) The share of health in employment grows while the share of health in GDP falls. D) The share of health in GDP grows, while the share of health in employment falls. Additional Requirements Level of Detail: Show all work Other Requirements: Please give detailed explanations for why the answers are correct, as this will greatly help me learn.