Consider a Cobb-Douglas production function with three inputs. K is capital (the number of machines), L is labor (the number of workers), and H is human capital (the number of college degrees among the workers). The production function is Y= K¹/³L¹/³H¹/³
a. Derive an expression for the marginal product of labor. How does an increase in the amount of human capital affect the marginal product of labor?