规模收益不变(constant returns to scale)
规模收益不变(constant returns to scale)
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规模收益不变(constant returns to scale)
第3题
第4题
在下列生产函数中,哪些显示出规模报酬递增、不变和递减?
Of the following production functions ,which exhibit increasing, constant, or decreasing returns to scale?
第5题
第6题
Do the following functions exhibit increasing, constant, or decreasing returns to scale? What happens to the marginal product of each individual factor as that factor is increased and the other factor held constant?
第7题
假定一生产函数为f(x1,x2)=则该生产函数所显示的是规模报酬不变、递增还是递减?
Consider the production function f(x1,x2)=Does this exhibit constant,increasing,or decreasing returns lo scale?
第8题
一家企业的生产函数随着产出的增加是否可能出现规模报酬递增、不变、递减三种情况?请讨论。
Can a firm have a production function that exhibits increasing returns to scale,constant returns to scale, and decreasing returns to scale as output increases? Discuss.
第9题
A profit-maximizing competitive firm that is making positive profits in long-run equilibrium (may/may not) have a technology with constant returns to scale.
第10题
A国与B国的生产函数都是:
Y=F(K,L)=K1/2L1/2
a.这个生产函数是规模收益不变吗?请解释。
b.人均生产函数y=f(k)是什么?
c.假设没有一个国家经历了人口增长或技术进步,并且资本折旧为每年5%。再假设A国每年储蓄为产出的10%,而B国每年储蓄为产出的20%。用你对(b)的答案和投资等于折旧的稳定状态条件,找出每个国家稳定状态的人均资本水平。然后找出稳定状态的人均收入水平和人均消费水平。
d.假定两国都从人均资本存量为2开始。人均收入水平和人均消费水平是多少?记住资本存量的变动是投资减折旧,用计算器来计算这两个国家的人均资本存量随时间推移将如何变动。计算每一年的人均收入和人均消费。B国的消费会在多少年后高于A国的消费?
Country A and country B both have the production function Y=F(K,L)=K1/2L1/2.
a.Does this production function have constant returns to scale? Explain.
b.What is the per-worker production function,y=f(k)?
c.Assume that neither country experiences population growth or technological progress and that 5 percent of capital depreciates each year. Assume further that country A saves 10 percent of output each year and country B saves 20 percent of output each year. Using your answer from part (b) and the steady-state condition that investment equals depreciation, find the steady-state level of capital per worker for each country. Then find the steady-state levels of income per worker and consumption per worker.
d.Suppose that both countries start off with a capital stock per worker of 2. What are the levels of income per worker and consumption per worker? Remembering that the change in the capital stock is investment less depreciation, use a calculator to show how the capital stock per worker will evolve over time in both countries. For each year, calculate income per worker and consumption per worker. How many years will it be before the consumption in country B is higher than the consumption in country A?
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