Answer to Question #63335 in Calculus for Niners

Question

A manufacturer of furniture has determined that the weekly production function for p thousand furniture is

p=1000+20l^2 k^3-5l^3-3k^4

where l is the number of labor hours per week in thousands and k is the amount of capital in thousands of RM per week. Determine:

i) the marginal production function with respect to l

ii) the marginal production function with respect to k