课程名称︰个体经济学二 课程性质︰系定必修 课程教师︰郑秀玲 开课学院：社会科学院 开课系所︰经济系 考试日期（年月日）︰97/03/27 考试时限（分钟）：两个小时 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : Q1 Suppose that the production function is f(X1,X2)=C X1^2 X2^2 where a,b,and C are positive constants. (a)For what positive value of a,b,and C are there decreasing returns to scale? (b)For what positive value of a,b,and C is there decreasing marginal product for factor 1? (c)For what positive value of a,b,and C is there diminishing technical rate of substitution? Q2 A firm has the production function f(X,Y)=min{2X,x+y}. (a)Please sketch a couple of production isoquants for this firm. (b)Please measure its elasticity of input substitution. Q3 Your coffee mug company is currently producing at an output level of 200 units per month. Fixed costs are $500 per month. At the current output level,you know that marginal cost is $10 and equal to average total cost. At an output level of 150,you have determind that marginal cost would be $6 and equal to average variable cost. The market price for your coffee mug is $8. If your goal is profit maximization,should you continue at q= 200,increase q above 200,or reduce q below 200? Would you do better to shut down? Q4 Lisa's Fashion Boutique can jointly produce evening gowns and formal gowns. The joining cost curve is:C(q1,q2)= 75q1 + 125q2 - 20q1^1/2 q2^1/2,where q1 is the numbr of evening gowns adn q2 is the numbr of formal gowns Lisa produces. If Lisa produces evening gowns alone,the cost function is C(q1) = 75q1. If Lisa produces formal gowns alone,the cost function is :C(q2)= 125q2. Calculate Lisa's degree of economics of scope if she produces 25 evening gowns and 9 formal gowns. (hint:SC = C(q1,o) + C(0,q2) - C(q1,q2) / C(q1.q2)) Q5 如果某面板厂的生产函数为:Q=L^1/2 K^1/2 ,每台模组设备成本为二十万元,技术员工 的薪资为五万元,试问: (1) 每月预计的产量为40单位,可求算其最适员工的雇用量与设备雇用量分别为L*与K* ,其长期生产成本为Co,请求出L* K* 与 Co分别为何? (2) 如果生产部门经理不打算以产出为目标,改以在现有的成本Co的限制之下,欲生产 最多的产出Qo,则其生产要素雇用量是否会异动,Qo的值为何? 是否能生产较以往 (Q=40)还多的产量? Q6 假设某电子厂商的最适生产决策如下: Min C= PL L +PK K s.t AL^a k^b=Q 试问: (1)请说明两要素雇用量成比例关系 (2)厂商最适要素雇用量为何? Q7 请绘图说明完全竞争市场之下,厂商如何从短期的均衡调整至长期均衡,达到P = LMC = min LAC = min SAC = SMC. 加分题 台湾的IC设计产业之产值占全球第二(约18%),仅次於美国,就你所知,提出IC设计 公司的生产函数可能为何?(请列出其投入和产出变数)?其生产成本为何?(请列出 其主要成本项目) --

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