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

考虑一个有以下柯布一道格拉斯生产函数的经济：Y=K^1/3L^2/3。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=K^1/3L^2/3. 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？