(a) Suppose the production function is Q = min {K, 2L}. How much output is produced when 4 units of labor and 9 units of capital are employed? Please explain.
(b) You are an efficiency expert hired by a manufacturing firm that uses K and L as inputs. The firm produces and sells a given output. If w = $40, r = $100, MPL = 20, and MPK = 40, is the firm minimizing costs? If not, should the firm use more labor and less capital, or less labor and more capital?