CV EV 政大經研99 - 經濟

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

--