计算时,我也算出Q=8,此时代入P=93-1.5Q=81啊,为啥不能满足P=MC?
问题如下图:
选项:
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解释:
NO.PZ2016010802000067 问题如下 The manschele in a perfectly competitive market is given P = 93 – 1.5Q (for Q ≤ 62) anthe long-run cost structure of eacompany is:Totcost: 256 + 2Q + 4Q2Average cost: 256/Q + 2 + 4QMargincost: 2 + 8QNew companies will enter the market any prigreater than: A.8. B.66. C.81. is correct.The long-run competitive equilibrium occurs where MC = = P for eacompany. Equating MC animplies 2 + 8Q = 256/Q + 2 + 4Q.Solving for Q gives Q = 8. Equating MC with prigives P = 2 + 8Q = 66. Any priabove 66 yiel economic profit because P = M Aso new companies will enter the market.考点完全竞争市场解析在完全竞争市场中,存在条件 MC = = P,联立MC=A2 + 8Q = 256/Q + 2 + 4Q, Q=8.,解得 P = 2 + 8Q = 66。注意到,之所以不用需求函数 P = 93 – 1.5Q 参与联立是因为这里给的是整个市场的需求函数,而非单个厂商的 。但是题目给定的MC,AC都是单个厂商的关系式,所以整个市场的需求函数与它们并不匹配,不能参与联立。 如题,最后P的求法请和另一个题目对比。No.PZ2018062003000067 (选择题)。这块概念逻辑听完课包括做完题还是比较混乱,不知道什么时候P可以联立什么时候不行。我知道说一个市场的、一个单个公司的,不能混用。但是为什么不能,逻辑上有什么不同。并且两道题也出现不同的做法,所以可以进一步详细清楚吗?
NO.PZ2016010802000067 问题如下 The manschele in a perfectly competitive market is given P = 93 – 1.5Q (for Q ≤ 62) anthe long-run cost structure of eacompany is:Totcost: 256 + 2Q + 4Q2Average cost: 256/Q + 2 + 4QMargincost: 2 + 8QNew companies will enter the market any prigreater than: A.8. B.66. C.81. is correct.The long-run competitive equilibrium occurs where MC = = P for eacompany. Equating MC animplies 2 + 8Q = 256/Q + 2 + 4Q.Solving for Q gives Q = 8. Equating MC with prigives P = 2 + 8Q = 66. Any priabove 66 yiel economic profit because P = M Aso new companies will enter the market.考点完全竞争市场解析在完全竞争市场中,存在条件 MC = = P,联立MC=A2 + 8Q = 256/Q + 2 + 4Q, Q=8.,解得 P = 2 + 8Q = 66。注意到,之所以不用需求函数 P = 93 – 1.5Q 参与联立是因为这里给的是整个市场的需求函数,而非单个厂商的 。但是题目给定的MC,AC都是单个厂商的关系式,所以整个市场的需求函数与它们并不匹配,不能参与联立。 老师,我的理解是:只有在perfecompetition mkt中short term利润最大化(短期均衡点)时,才有MR=MC=P而题目中问的是long term长期均衡点,应该是TR-TC=0 (AR=ATC)才对又因为,在perfecompetition mkt中,MR=AR=P所以 perfecompetition long term的长期均衡点breakeven point是MR=ATC这里问的并不是利润最大化,为什么会得出MR=ATC=MC=P呢?
NO.PZ2016010802000067 问题如下 The manschele in a perfectly competitive market is given P = 93 – 1.5Q (for Q ≤ 62) anthe long-run cost structure of eacompany is:Totcost: 256 + 2Q + 4Q2Average cost: 256/Q + 2 + 4QMargincost: 2 + 8QNew companies will enter the market any prigreater than: A.8. B.66. C.81. is correct.The long-run competitive equilibrium occurs where MC = = P for eacompany. Equating MC animplies 2 + 8Q = 256/Q + 2 + 4Q.Solving for Q gives Q = 8. Equating MC with prigives P = 2 + 8Q = 66. Any priabove 66 yiel economic profit because P = M Aso new companies will enter the market.考点完全竞争市场解析在完全竞争市场中,存在条件 MC = = P,联立MC=A2 + 8Q = 256/Q + 2 + 4Q, Q=8.,解得 P = 2 + 8Q = 66。注意到,之所以不用需求函数 P = 93 – 1.5Q 参与联立是因为这里给的是整个市场的需求函数,而非单个厂商的 。但是题目给定的MC,AC都是单个厂商的关系式,所以整个市场的需求函数与它们并不匹配,不能参与联立。 为什么MC=AC=P?这里用到的是breakeven point的公式吗?如果是的话,那么就是由AC=AR,然后perfecompetition下AR=P=MC这样推出来的吗
NO.PZ2016010802000067问题如下The manschele in a perfectly competitive market is given P = 93 – 1.5Q (for Q ≤ 62) anthe long-run cost structure of eacompany is:Totcost: 256 + 2Q + 4Q2Average cost: 256/Q + 2 + 4QMargincost: 2 + 8QNew companies will enter the market any prigreater than:A.8.B.66.C.81.is correct.The long-run competitive equilibrium occurs where MC = = P for eacompany. Equating MC animplies 2 + 8Q = 256/Q + 2 + 4Q.Solving for Q gives Q = 8. Equating MC with prigives P = 2 + 8Q = 66. Any priabove 66 yiel economic profit because P = M Aso new companies will enter the market.考点完全竞争市场解析在完全竞争市场中,存在条件 MC = = P,联立MC=A2 + 8Q = 256/Q + 2 + 4Q, Q=8.,解得 P = 2 + 8Q = 66。注意到,之所以不用需求函数 P = 93 – 1.5Q 参与联立是因为这里给的是整个市场的需求函数,而非单个厂商的 。但是题目给定的MC,AC都是单个厂商的关系式,所以整个市场的需求函数与它们并不匹配,不能参与联立。为什么Q=8 /…….
NO.PZ2016010802000067问题如下The manschele in a perfectly competitive market is given P = 93 – 1.5Q (for Q ≤ 62) anthe long-run cost structure of eacompany is:Totcost: 256 + 2Q + 4Q2Average cost: 256/Q + 2 + 4QMargincost: 2 + 8QNew companies will enter the market any prigreater than:A.8.B.66.C.81.is correct.The long-run competitive equilibrium occurs where MC = = P for eacompany. Equating MC animplies 2 + 8Q = 256/Q + 2 + 4Q.Solving for Q gives Q = 8. Equating MC with prigives P = 2 + 8Q = 66. Any priabove 66 yiel economic profit because P = M Aso new companies will enter the market.考点完全竞争市场解析在完全竞争市场中,存在条件 MC = = P,联立MC=A2 + 8Q = 256/Q + 2 + 4Q, Q=8.,解得 P = 2 + 8Q = 66。注意到,之所以不用需求函数 P = 93 – 1.5Q 参与联立是因为这里给的是整个市场的需求函数,而非单个厂商的 。但是题目给定的MC,AC都是单个厂商的关系式,所以整个市场的需求函数与它们并不匹配,不能参与联立。在perfecompetition market中,长期的breakeven point 是TR=TC时,此时profit=0。请问breakeven point 和long-run equilibrium有什么区别?