F(K,L)=min{aK,bL}F(K,L) = \min\{aK, bL\}F(K,L)=min{aK,bL}, a,b>0a,b>0a,b>0, a≠ba \neq ba=b. For fixed Kˉ\bar KKˉ, the marginal product of labor is
000
1/a1/a1/a if L<(a/b)KˉL < (a/b)\bar KL<(a/b)Kˉ and 000 otherwise
1/b1/b1/b if L<(b/a)KˉL < (b/a)\bar KL<(b/a)Kˉ and 000 if L>(b/a)KˉL > (b/a)\bar KL>(b/a)Kˉ
None of the above