A good worker in a key spot could， so _______ as he kept up production， take all the

A.work

B.working

C.worker

A.consistent

B.committed

C.content

D.engaged

下面的问题详细地分析教材中介绍的两部门内生增长模型。

a．用效率工人的人均产出和效率工人的人均资本重新求出制成品的生产函数。

b．在这个经济中，收支相抵的投资(保持效率工人人均资本量不变所需要的投资量)是多少？

c．求出k变动的公式，该公式表示△k是储蓄减收支相抵的投资。用这个式子画出一个表示稳定状态k的决定的图形。(提示：这个图看起来很像我们在分析索洛模型时所用过的图。)

d．在这个经济中，稳定状态的人均产出Y/L增长率是多少？储蓄率s和在大学中的劳动力比例u如何影响这一稳定状态增长率？

e．用你的图说明u的提高的影响。(提示：这种变动对两条曲线都产生影响。)

f．根据你的分析，u的提高对经济肯定是一件好事吗？并解释。

This question asks you to analyze in more detail the two-sector endogenous growth model presented in the text.

a．Rewrite the production function for manufactured goods in terms of output per effective worker and capital per effective worker.

b．In this economy, what is break-even investment (the amount of investment needed to keep capital per effective worker constant)？

c．Write down the equation of motion for k. which shows △k as saving minus break-even investment, Use this equation to draw a graph showing the determination of steady-state k. (Hint: This graph will look much like those we used to analyze the Solow model.)

d．In this economy, what is the steady-state growth rate of output per worker Y/L？ How do the saving rate s and the fraction of the labor force in universities u affect this steadystate growth rate？

e．Using your graph, show the impact of an increase in u. (Hint: This change affects both curves.) Describe both the immediate and the steady-state effects.

f．Based on your analysis, is an increase in u an unambiguously good thing for the economy？ Explain.

A./'wɜːkə/

B./'wɝkɚ/

MARRY: Hi, Tim. How do you like your new job？

TIM: I like it. {A.So what do you do there exactly？; B. I just want to be a good team worker and not step on anyone’s toes.; C. But how did you know about my new job？; D. you happen to have that work experience.; E. Can you fill me in on what has been happening？}

MARRY: I just heard through the grapevine that you landed a job in a big car company. {A.So what do you do there exactly？; B. I just want to be a good team worker and not step on anyone’s toes.; C. But how did you know about my new job？; D. you happen to have that work experience.; E. Can you fill me in on what has been happening？}

TIM: Ok, two weeks ago I got a tip that this company wanted to take on some experienced workers who have experience with wireless, electrical car-charging technology.

MARRY: Oh, {A.So what do you do there exactly？; B. I just want to be a good team worker and not step on anyone’s toes.; C. But how did you know about my new job？; D. you happen to have that work experience.; E. Can you fill me in on what has been happening？}

TIM: Well, anyway, I made a beeline over to their office, had an interview with the department manager, and was told to start work the next day.

MARRY: That’s really great. {A.So what do you do there exactly？; B. I just want to be a good team worker and not step on anyone’s toes.; C. But how did you know about my new job？; D. you happen to have that work experience.; E. Can you fill me in on what has been happening？}

TIM: Right now I’m basically just an office worker, but if I’m given the chance, I want to become the Marketing Director there.

MARRY: Don’t tell me you’re already looking for a promotion.

TIM: No, of course not. I’ve got a lot to learn yet. In the meantime, {A.So what do you do there exactly？; B. I just want to be a good team worker and not step on anyone’s toes.; C. But how did you know about my new job？; D. you happen to have that work experience.; E. Can you fill me in on what has been happening？}

MARRY: Well, I wish you luck.

TIM: Thank you.

Social work helps people to have a() life. In many cases this requires the social worker to help people to overcome the negatives in their lives. Social work includes from helping a() to get into college to counseling a person with illness. In most cases the role of a social worker is to help people to() the skills. Most of the time a social worker is going to be dealing() people who are having a difficult time. Often poverty plays a big part in the need for the services of social worker. Social workers often interview people to get an understanding of the problem. From there the social worker will help them to come up with a plan to() their situation.

1.A. good

B. better

C. rich

2.A. student

B. doctor

C. lawyer

3.A. take

B. think

C. develop

4.A. with

B. on

C. in

5.A. change

B. meet

C. improve

A．a payment for moving expenses a worker receives when he or she is transferred by an employer to a new location．

B．a payment that is automatically transferred from your bank account to pay a bill or some other obligation．

C．a form of government spending that is not made in exchange for a currently produced good or service

D．the benefit that a person receives from an expenditure by government minus the taxes that were collected by government to fund that expenditur

E．

考虑用以下生产函数描述的一个经济：Y=F(K，L)=K^0.3L^0.7。

a．人均生产函数是什么？

b．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。

c．假定折旧率是每年10%。作一个表，表示储蓄率分别为0、10%、20%、30%等时，稳定状态的人均资本、人均产出和人均消费。(你需要用一个有指数键的计算器来计算这个问题。)使人均产出最大化的储蓄率是多少？使人均消费最大化的储蓄率是多少？

d．用微积分找出资本的边际产量。在你的表上增加一项——每种储蓄率下的资本的边际产量减折旧。你的表说明了什么？

Consider an economy described by the production function Y=F(K，L)=K^0.3L^0.7.

a．What is the per-worker production function？

b．Assuming no population growth or technological progress, find the steady-state capital stock per worker, output per worker, and consumption per worker as functions of the saving rate and the depreciation rate.

c．Assume that the depreciation rate is 10 percent per year. Make a table showing steady-state capital per worker, output per worker, and consumption per worker for saving rates of 0 percent, 10 percent, 20 percent, 30 percent, and so on. (You will need a calculator with an exponent key for this.) What saving rate maximizes output per worker？ What saving rate maximizes consumption per worker？

d．(Harder) Use calculus to find the marginal product of capital. Add to your table the marginal product of capital net of depreciation for each of the saving rates. What does your table show？

A国与B国的生产函数都是：

Y=F(K，L)=K^1/2L^1/2

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)=K^1/2L^1/2.

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？

考虑用以下生产函数描述的一个经济：Y=F(K，L)=K^0.3L^0.7。

a．人均生产函数是什么？

b．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。

c．假定折旧率是每年10%。作一个表，表示储蓄率分别为0、10%、20%、30%等时，稳定状态的人均资本、人均产出和人均消费。(你需要用一个有指数键的计算器来计算这个问题。)使人均产出最大化的储蓄率是多少？使人均消费最大化的储蓄率是多少？

d．用微积分找出资本的边际产量。在你的表上增加一项——每种储蓄率下的资本的边际产量减折旧。你的表说明了什么？

Consider an economy described by the production function Y=F(K，L)=K^0.3L^0.7.

a．What is the per-worker production function？

b．Assuming no population growth or technological progress, find the steady-state capital stock per worker, output per worker, and consumption per worker as functions of the saving rate and the depreciation rate.

c．Assume that the depreciation rate is 10 percent per year. Make a table showing steady-state capital per worker, output per worker, and consumption per worker for saving rates of 0 percent, 10 percent, 20 percent, 30 percent, and so on. (You will need a calculator with an exponent key for this.) What saving rate maximizes output per worker？ What saving rate maximizes consumption per worker？

d．(Harder) Use calculus to find the marginal product of capital. Add to your table the marginal product of capital net of depreciation for each of the saving rates. What does your table show？