Suppose that the maintenance programmer has located a fault and must fix it without i

假设工资率是16美元/小时，产品价格是2美元。每小时产出和劳动投入的关系如下:（1)找到利润最大化

假设工资率是16美元/小时，产品价格是2美元。每小时产出和劳动投入的关系如下:

(1)找到利润最大化时的劳动数量。

(2)假设产品价格保持2美元不变，但工资率上升到21美元。找到新的利润最大化的劳动数量。

(3)假设产品价格增加到3美元而工资保持在16美元。找到新的利润最大化的劳动数量。

(4)假设产品价格2美元和工资率16美元保持不变，但是技术进步导致任何劳动投入水平下的产出都增加25%。找到新的利润最大化的劳动数量。

Suppose that the wage rate is $ 16 per hour and the price of the products $ 2. Values for output and labor are in units per hour.

a. Find the profit - maximizing quantity of labor.

b. Suppose that the price of the product remains at S2 but that the wage rate increases to $21. Find the new profit - maximizing level of 1

c. Suppose that the price of the product increases to $3 and the wage remains at S 16 per hour. Find the new profit - maximizing L.

d. Suppose that the price of the product remains at $2 and the wage at $ 16, but that there is a technological breakthrough that increases output by 25 percent for any given level of labor. Find the new profit - maximizing L

英亩的土地只需投入5小时的劳动。

a.假设该经济拥有的总资源量为：600小时的劳动和60英亩的土地。请画图说明资源应如何分配。

b.现在假设劳动供给分别上升到800小时、1000小时、1200小时。请用一幅如(本书中)图4-6的图展示出资源分配变化的轨迹。

c.如果劳动供给继续增加将出现什么样的情形？

Suppose that at current factor prices cloth is produced using 20 hours of labor for each acre of land， and food is produced using only5 hours of labor per acre of land.

a. Suppose that the economy' s total resources are 600 hours of labor and 60 acres of land. Using a diagram determine the allocation of resources.

b. Now suppose that the labor supply increases first to 800， then 1000， then 1200 hours. Using a diagram like Figure 4-6， trace out the changing allocation of resources.

c. What would happen if the labor supply were to increase even further？

假设一个利润最大化的垄断者的生产产出为800单位，并索取每单位40美元的价格。（1)如果产品的需求

假设一个利润最大化的垄断者的生产产出为800单位，并索取每单位40美元的价格。

(1)如果产品的需求弹性为-2,求生产最后一单位产品的边际成本。

(2)厂商边际成本上的百分比价格加成为多少？

(3)假设生产最后一单位产品的平均成本为15美元，且厂商的固定成本为2000美元。求厂商的利润。

Suppose a profit - maximizing monopolist is producing 800 units of output and is charging a price of $ 40 per unit.

a. If the elasticity of demand for the product is - 2, find the marginal cost of the last unit produced.

b. What is the firm ' s percentage markup of price over marginal cost？

c. Suppose that the average cost of the last unit produced is $ I5 and the firm' s fixed cost is $ 2000. Find the firm' s profit.

数量的关系如下表:

(1)计算该生产函数下劳动的平均产量和边际产量;

(2)该生产函数是否显示了劳动的边际报酬递减，请解释;

(3)请直观地解释劳动边际产量为负的原因？

Suppose a chair manufacturer is producing in the short run (with its existing plant and equipment). The manufacturer has observed the fallowing levels of production corresponding to different numbers of workers:

a. Calculable the marginal and average product of labor for this production function.

b. Does this production function exhibit diminishing returns to labor？ Explain.

e. Explain intuitively what might cause the marginal product of labor to become negative,

(1)企业目前的产量为100单位，成本最小化的劳动和资本分别为20和5。在图上用等产量线和等成本线表示出来。

(2)企业想将产量扩大为140单位，如果资本在短期固定，需要多少劳动？在图形上表示出来，并计算企业新的成本。

(3)在图形上表示出企业在长期生产140单位产品的成本最小化劳动和资本投入。

(4)如果边际技术替代率为K/L,计算生产140单位产品的最优劳动和资本投入。

Suppose that a firm' s production is q= 10L1/2K1/2. The cost of a unit of labor is $ 20 and the cost of a unit of capital is $ 80. a The firm is currently production 100 unis of output and has determined that the cost - mini-mizing quantities of labor and capital are 20 and 5, respectively. Graphically illustrate this using isoquants and isocost lines.

b，The firm now wants to increase output to 140 units. If capital is fixed in the short run, how much labor will the firm require？ Illustrator this graphically and find the firms new total cost.

c. Graphically identify the cost - minimizing level of capital and labor in the long run if the firm wants to produce 140 units.

d. If the marginal rate of technical substitution is K/L, find the optimal level of capital and labor required to produce the 140 units of output.