Problem 4* Quinn's candy factory is in a competitive market. The production function is given by f (L, K) = L1/4K1/4. Suppose the wage rate is 1, and the rental rate of capital is 4. (a) Use the Lagrange multiplier method to derive the long-run cost function for Quinn's candy factory . (b) Calculate and graph the long-run marginal cost curve and the average cost curve for Quinn's candy factory. (c) Write down the long-run supply function and graph the long-run supply curve for Quinn's candy factory