Economists have considered the output

y

of a manufacturing process as a function of the size of the labor force

n

using the function

y=kn^(p),w^(')

where

(dy)/(dn)(dy)/(dn)=(kp)/(n^(1-p))(dy)/(dn)=(dy)/(dn)=(dy)/(dn)=(kp)/(n^(1-p))0. The marginal product of labor, defined as (dy)/(dn), measures the, rate that output increases with the size of the labor force, and is a measure of labor productivity. Complete parts (a) and (b) below.\ (a) Show that (dy)/(dn)=(kp)/(n^(1-p)).\ By the (dy)/(dn)=\ By the

Economists have considered the output y of a manufacturing process as a function of the size of the labor force n using the function y=knp, where 0