Let the production function of a firm be Q = 3L^2K^2

Question

Let the production function of a rm be Q = 3L²K²

(a) Find out the maximum possible output that the firm can produce with 5 units of L and 3 units of K. 

(b) What is the maximum possible output that the firm can produce with 10 units of L and zero units of K?

Answer 1

(a) Q = 3L²K²

= 3 x 5² x 3²

= 3 x 25 x 9 = 675

(b) Q = 3 L²K²

= 3 x 10² x 0² = 0