Thread: Marginal products of labor and capital

Hey,

has anybody an idea how to compute of marginal products of labor and capital from this excercise?

[min{aK,bL}]^α

post the whole question.

Hint: consider three cases:
1) aK < bL
2) aK > bL
3) aK=bL

and find the marginal capital in each.

The whole question is :
Compute marginal products of labor and capital and the marginal rate of technical substitution and sketch the isoquants for the following production function: [min{aK,bL}]^α

marginal products of labor: α[min{aK,bL}]^α-1*(0, if L>K; b if L<K)? is it correct?

i dont think thats right.

case 1: aK < bL


MPL=0.

case 1: aK > bL






case 3: aK=bL
MPL=0


So the overall MPL function is if bL < aK, 0 otherwise.