Production suppose that a companys production for q units

Question

Question: Production suppose that a company's production for Q units of its product is given by the Cobb-Douglas production function

Q = 70K^2/3L^1/3

where K is dollars of capital investment and L is labor hours.

(a) Find Q if K = $64,000 and L = 512 hours.

(b) Show that if both K and L are halved, then Q is also halved.

(c) If capital investment is held at $64,000, graph Q as a function of L.