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

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.