Re: [請益] 次方問題
看板Economics (經濟學)作者babyyama (.....)時間14年前 (2012/04/19 21:15)推噓13(13推 0噓 35→)留言48則, 11人參與討論串3/4 (看更多)
※ 引述《yupy1911 (Yupy)》之銘言:
: ※ 引述《babyyama (.....)》之銘言:
抱歉這個問題一直占據板面...Orz
今天在楊雲明老師個經看到一個解法
U(X,Y)=X^1/4 Y^3/4 Px=Py=10 M=9000
X*= a/a+ß* M/Px X=1/4*10/9000 X=225
Y*= ß/a+ß*M/Py Y=3/4*10/9000 Y=675
答案幾乎都一樣
這樣算法在考試可以行的通嗎?@@
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楊雲明老師課本(第四版,p.144-145)有介紹Lagrange
但一直不是很懂..
如
U(X,Y)=X^1/4 Y^3/4 且已知Px=2,Py=6,M=1600,求消費者均衡
解答:
Τ=X^1/4 Y^3/4+λ(1600-2X-6Y)
1/4X^-3/4 Y^3/4=2λ→知道這裡要對X項偏微分 前面的1/4是不是X^1/4??
3/4X^ 1/4 Y^-1/4=6λ→跟上面的問題一樣^^""
1600=2X + 6Y → 只有這個看得懂
煩請大大們解惑... 感謝><
※ 編輯: babyyama 來自: 114.47.104.200 (04/20 00:01)
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