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Problem 3 The production function of USB sticks is given by F(K, L) = KL? L}, where F(K,L): Quantity of USB sticks/year, K: hours of machine time and L: hours of labour input. a) Consider production in the short run and therefore, suppose K = 500. Draw the produc- tion function F(K, L) for the range L = [0; 500) in one, the average product F(K, L)/L and marginal product aF/aL in one other diagram and do not forget to label the axes ! = b) Illustrate at which level of L average and marginal product reach their maximum after computing it and also, where the marginal product curve will intersect with the average product curve. c) Revise your illustration of the (total) production function indicating how to find the average and marginal product of a specific input l1. In your illustration, is the average or the marginal product larger at this specified level l