Need answers! Urgent
You lost patience? Sorry. I did think about it. What have you been doing?
If we fix the production, Q, or the ratio Q/A, we see that K can be expressed as a function of L.
Rewrite the expression as $\displaystyle \left(\frac{Q}{A}\right)^{\alpha} = b*K^{\alpha} + (1-b)*L^{\alpha}$
Find the implicit derivative with K = f(L)
$\displaystyle 0 = \alpha b*K^{\alpha - 1}\left(\frac{dK}{dL}\right) + \alpha (1-b)*L^{\alpha - 1}$
Solve for $\displaystyle \frac{dK}{dL}$, which is the marginal change in K associated with a unit change in L.
See, it wasn't so bad.