作者CLHu5566 (Hu~~~~~)
看板Economics
標題[考試] CV EV 政大經研99
時間Tue Feb 21 22:05:08 2012
來源: 99政大經研
科目: 個體經濟
問題:
2.An individual has the utility U(h,c)=hc (h:leisure , c:consumption ; Pc=1)
There 24 hours in a day,and w=$1 is the market wage rate per hour.Non-earned
income is $10.Please compute the compensating variation and equivalent
variation to the individual for each of the following government policies.
(1)The government decides to impose an income tax in both the wage income and
non-earned income.The tax rate is 50%
(2)The government decides to impose a minimum hourly wage as $2 per hour only
for the first 3 hour.
(3)The government decides to impose a minimum work-hour requirement as 8 hours
per day.
我的想法:
一開始是
maxU=hc
s.t N+h=24 N是工作時數
c=N+10
所以限制式變成c+h=34
解出h=c=17 U=17^2
(1)
max U=hc
s.t N+h=24
c=(1/2)(N+10)
限制式變成2c+h=34
那CV是要求 min E=2c+h
s.t 17^2=hc嗎??
(2)
max U=hc
s.t N+h=24
c=2N+10 if h>=21
N+13 if h<21
限制式就變成c+2h=58 if h>=21
c+h=37 if h<21
這題如果用跟(1)一樣的方法 CV EV 都會是零@@!
還是我根本就想錯方向了
有請大大解答
連兩年都有考類似的~希望大家能救我!!
感謝
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1F：推 papapapain:0.0這題我有算出數字耶~不過我沒解答不知道是否對錯 02/22 00:38
2F：推 papapapain:把圖畫出來就會知道在h<21預算線部分斜率不變 02/22 01:19
3F：→ papapapain:價格相同下,EV=CV=3 02/22 01:19
4F：→ papapapain:其實就是前三個小時的加薪部分 02/22 01:20
5F：→ papapapain:你可以把改變後的h*=18.5 02/22 01:22
6F：→ papapapain:帶進前後的預算限制線就會發現c相差3,應該是這樣啦^^ 02/22 01:23