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hello in this video were gonna look at well actually a number of things primarily though were going to derive the condition conditional input demands from a cobb-douglas production function so as I said were gonna do numerous things here first like I said were gonna drive the conditional input demands for labor and capital on the way were gonna solve for the firms long-run total cost equation Ill show you the use of leopards scheme Leopards lemma to get the conditional input demands from the long run total cost function and we will also quickly solve for the firms long-run average total cost so here were gonna start with a cobb-douglas production function notice that the exponents here sum to one so were dealing with constant returns to scale so as were gonna see at the end of the video that will imply a horizontal long-run average total cost curve alright the first thing were gonna do is get the marginal products of labour and capital so the marginal product of labor tak