# Suppose that a company's production for Q units of its product is given by the Cobb-Douglas production function shown below, where K is dollars of capital investment and L is labor hours. Q = 30K1/4L3/4 (a) Find Q if K = $625 and L = 625 hours.Q = (b) Show that if both K and L are doubled, then the output is doubled.Q(2K, 2L) = (c) If a capital investment is held at$10,000, graph Q as a function of L.

Question

Suppose that a company's production for Q units of its product is given by the Cobb-Douglas production function shown below, where K is dollars of capital investment and L is labor hours.

Q = 30K1/4L3/4
(a) Find Q if K = $625 and L = 625 hours. Q = (b) Show that if both K and L are doubled, then the output is doubled. Q(2K, 2L) = (c) If a capital investment is held at$10,000, graph Q as a function of L