效用均等的條件 - 經濟

By Andrew
at 2010-06-16T09:21
at 2010-06-16T09:21
Table of Contents
請教大家:
所謂「效用均等的條件」就是
「花在每一物品或勞務的最後一塊錢的效用,不論就哪一物品或勞務都必須相等。」
用數學式表達就是(假設有n個物品)
MU_1 / p_1 = MU_2 / p_2 = ... = MU_n / p_n
MU = Marginal Utility
p = price
問題是:
總效用達到最大的時候,一定會符合效用均等的條件嗎?
舉個例子:
假設我有100元,有兩個物品A、B供我選擇
A的數量 總效用U_A 邊際效用MU_A B的數量 總效用U_B 邊際效用MU_B
0 0 0 0
1 91 91 1 57 57
2 128 37 2 65 8
3 143 15 3 72 7
4 148 5 4 75 3
5 150 2 5 77 2
6 151 1 6 79 2
7 152 1 7 81 2
8 153 1 8 83 2
9 154 1 9 84 1
A的價格是29元,B的價格是23元
總效用在 A X 2 + B X 1 達到最大,此時總效用為 185
MU_A / p_A = 37 / 29 = 1.276
MU_B / p_B = 57 / 23 = 2.478 不相等
我理解錯了嗎?
謝謝
--
所謂「效用均等的條件」就是
「花在每一物品或勞務的最後一塊錢的效用,不論就哪一物品或勞務都必須相等。」
用數學式表達就是(假設有n個物品)
MU_1 / p_1 = MU_2 / p_2 = ... = MU_n / p_n
MU = Marginal Utility
p = price
問題是:
總效用達到最大的時候,一定會符合效用均等的條件嗎?
舉個例子:
假設我有100元,有兩個物品A、B供我選擇
A的數量 總效用U_A 邊際效用MU_A B的數量 總效用U_B 邊際效用MU_B
0 0 0 0
1 91 91 1 57 57
2 128 37 2 65 8
3 143 15 3 72 7
4 148 5 4 75 3
5 150 2 5 77 2
6 151 1 6 79 2
7 152 1 7 81 2
8 153 1 8 83 2
9 154 1 9 84 1
A的價格是29元,B的價格是23元
總效用在 A X 2 + B X 1 達到最大,此時總效用為 185
MU_A / p_A = 37 / 29 = 1.276
MU_B / p_B = 57 / 23 = 2.478 不相等
我理解錯了嗎?
謝謝
--
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