一家企业的固定生产成本为5000美元,边际生产成本为常数,为500美元/单位产品。
(1)企业的总成本函数是什么?平均成本呢?
(2)如果企业想使其平均总成本最低,它应该选择非常大的产量还是比较小的产量?解释你的结论。
A firm has a fixed production cost of $ 5000 and a constant marginal cost of production of S 500 per unit produced.
a. What is the firm' s total cost function? Average cost?
b. If the firm wanted to minimize the average total cost,would it choose to be very large or very small? Explain.
下表显示了一个以常数边际成本10美元生产的垄断者面临的需求曲线。
(1)计算该厂商的边际收益曲线。
(2)该厂商的利润最大化产量和价格是多少?该厂商的利润为多少?
(3)在一竞争性行业中均衡价格和数量各为多少?
(4)如果该垄断者被迫以完全竞争的均衡价格生产,社会得益是什么?结果是谁获益谁受损?
The following table shows the demand curve facing a monopolist who produces at a constant marginal cost of $ 10.
a. Calculate the firm' s marginal revenue curve.
b. What are the firm's profit - maximizing output and price? What is its profit?
c. What would the equilibrium price and quantity be in a competitive industry?
d. What would the social gain be if this monopolist were forced to produce and price at the competitive equilibrium? Who would gain and lose as a result?
(1)设厂商1是斯塔克博格领袖(即在厂商2之前作它的产量决策)。找出反应曲线,使得各厂商能够根据它的竞争者的产量,求出它自己应该生产多少。
(2)各厂商将生产多少,以及利润为多少?
This exercise is a continuation of Exercise 3. We return to two firms with the same constant average and marginal cost, AC=MC=5, facing the market demand curve Q1+Q2=53-P. Now we will use the Stackelberg model to analyze what will happen if one of the firms makes its output decision ahead of the other one.
a, Suppose Firm 1 is the Stackelberg leader (i. e. , makes its output decisions ahead of Firm2). Find the reaction curves that tell each firm how much to produce in terms of the output of its competitor
b. How much will each firm produce, and what will its profit be?
设是某一数域F上多项式在复数域内的全部根。证明:的每一个对称多项式都可以表成F上关于α1的多项式。