证明下列有人口增长与技术进步的稳定状态的每一种表述。 a．资本一产出比率是不变的。 b．资本和劳动各自赚取了一个经济的收入中的不变的份额。 c．资本总收入和劳动总收入都会按人口增长率加技术进步率n+g的速率增长。 d．资本的实际租赁价格是不变的，而实际工资以技术进步率g增长。(提示：资本的实际租赁价格等于资本总收入除以资本存量，而实际工资等于劳动总收入除以劳动力。) Prove each of the following statements about the steady state with population growth and technological progress. a．The capital-output ratio is constant. b．Capital and labor each earn a constant share of an economy's income. c．Total capital income and total labor income both grow at the rate of population growth plus the rate of technological progress, n+g. d．The real rental price of capital is constant, and the real wage grows at the rate of technological progress g. (Hint: The real rental price of capital equals total capital income divided by the capital stock, and the real wage equals total labor income divided by the labor force.)