[商管] [經濟]生產函數
A production function y=f(x1,x2) shows a property of homogeneous of
degree one.
下列何者正確?
1)y=x1x2,fits exactly the homogeneity of degree one.
這是二階齊次 ->F
2)the marginal productivity of inputs depends on the ratio and respective
levels of inputs
令y=X1^0.5*X2^0.5
MPx1=0.5*X1^(-0.5)*X2^0.5 = 0.5*(X2/X1)^0.5
MPx2=0.5*X1^0.5*X2^(-0.5) = 0.5*(X1/X2)^0.5
MPx1,MPx2有depends on the ratio(X2/X1),(X1/X2) 且似乎也受各自數量影響
我不大懂這句是對或錯
3)the technology implied is called increasing returns to scale.
一階齊次應為CRTS ->F
4)the slope of isoquant only depends on the ratio of inputs.
MRTS=(x2/x1)^0.5 這句是對的 ->T
A)(1)
B)(1)(2)
C)(1)(2)(3)
D)(4)
E)以上皆非
答案給E 但沒給詳解
想請問這題是2),4)正確嗎?
感謝
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