对科布—道格拉斯生产函数模型Y=AKαLβeμ进行线性变换后的估计结果为则原模型中参数A的估计值为(
对科布—道格拉斯生产函数模型Y=AKαLβeμ进行线性变换后的估计结果为
则原模型中参数A的估计值为()
A.2.245
B.e0.987
C.e2.245
D.102.245
对科布—道格拉斯生产函数模型Y=AKαLβeμ进行线性变换后的估计结果为
则原模型中参数A的估计值为()
A.2.245
B.e0.987
C.e2.245
D.102.245
对于柯布-道格拉斯生产函数Q=ALαKβ中参数A、α、β的描述不正确的是()。
A.A是技术系数,A的数值越大,既定投入数量所能生产的产量越大
B.A是风险系数,A的数值越大,既定投入数量所能生产的风险越大
C.α代表增加1%的劳动对产量增加的百分比
D.β代表增加1%的资本对产量增加的百分比
A.A是技术系数,A的数值越大,既定投入数量所能生产的产量越大
B.A是风险系数,A的数值越大,既定投入数量所能产生的风险越大
C.α代表增长1%的劳动对产量增长的比例
D.β代表增长1%的劳动对产量增长的比例
E.β代表增长1%的资本对产量增长的比例
A、假设资本K与劳动L之间是完全可替代的
B、资本要素的边际产量MPk=a1
C、劳动要素的边际产量MPL=a2
D、劳动和资本要素的替代弹性σ=∞
升因素,记物价上升指数为p(t)(设p(0)=1),则产品的表面价值y(t)、实际价值Q(t)和物价指数p(t)之间满足y(t)=Q(t)p(t)。
(1)导出y(t),Q(t),p(t)的相对增长率之间的关系并做出解释。
(2)设雇佣工人数目为L(t),每个工人工资w(t),企业的利润简化为从产品的收入y(t)中扣除工人工资和固定成本,利用Douglas生产函数讨论,企业应雇用多少工能使利润最大。
考虑一个有以下柯布一道格拉斯生产函数的经济:Y=K1/3L2/3。这个经济有1000单位资本和1000个工人的劳动力。
a.求出描述这个经济中劳动力需求作为实际工资和资本存量函数的方程式。
b.如果实际工资可以调整到使劳动力供求均衡,那么,实际工资是多少?在这一均衡状态,就业量、产出和工人所赚到的总工资量是多少?
c.现在假设国会关注工人阶级的福利,通过一项法律要求企业向工人支付l单位产品的实际工资。这种工资与均衡工资相比如何?
d.议会不能指定企业以规定的工资雇佣多少工人。给定这一事实,这种法律有什么影响?特别地,就业、产出以及工人赚到的总收入会发生什么变动?
e.国会能成功地实现帮助工人阶级的目标吗?请解释。
f.你认为这种分析为考虑最低工资法提供了一种好方法吗?为什么是或不是?
Consider an economy with the following Cobb-Douglas production function:Y=K1/3L2/3. The economy has 1,000 units of capital and a labor force of 1,000 workers.
a.Derive the equation describing labor demand in this economy as a function of the real wage and the capital stock.
b.If the real wage can adjust to equilibrate labor supply and labor demand. what is the real wage? In this equilibrium, what are employment, output, and the total amount earned by workers?
c.Now suppose that Congress concerned about the welfare of the working class, passes a law requiring firms to pay workers a real wage of 1 unit of output. How does this wage compare to the equilibrium wage?
d.Congress cannot dictate how many workers firms hire at the mandated wage. Given this fact, what are the effects of this law? Specifically, what happens to employment, output, and the total amount earned by workers?
e.Will Congress succeed in its goal of helping the working class? Explain.
f.Do you think that this analysis provides a good way of thinking about a minimum-wage law? Why or why not?
考虑用以下生产函数描述的一个经济:Y=F(K,L)=K0.3L0.7’。求解: (1)人均生产函数是什么? (2)假定没有人口增长或技术进步,找出稳定状态的人均资本存量、人均产出,以及作为储蓄率和折旧率函数的人均消费。 (3)试用微积分找出资本的边际产量。
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?