Suppose that a company's production for Q units of its product is given by the Cobb-Douglas production

Question:

Suppose that a company's production for Q units of its product is given by the Cobb-Douglas production function
Q = 70K2/3L1/3
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.