2. A firm's production function is f(L, K) = L³ + K½. Suppose w = 4 and r = function c(q). 6. Use the Lagrangian method to derive the long-run cost

30. The production function is f(L, M) = 4L1/2 M¹2, where L is the number of units of labor and M is the number of machines used. If the cost of labor is $49 per unit and the cost of machines is $16 per unit, then what is the total cost of producing 5 units of output?