(a) Derive the first order condition showing how much labor and capital a producer should use to minimize the total costs of producing a given level of output. (b) What is the second order condition for the producer to achieve (a). (c) Draw a figure showing your answer to part (a) and another figure showing the opposite (i.e., a producer maximizing output with given total costs). How does either situation compare with a producer who has neither a total output constraint or a total cost constraint