Productivity is importantly seen as a factor of small value against the changes of demand and the Keynsian multiplier, what this article is showing is the controversy between interest rates and productivity using many assumptions that our vocation is not to prove but to analyse deeply using logic and intuition, what we defend in our sophism is the fact policymakers could come in rescue to companies that have the political duty and the nationalistic obligation to uprise their productivity using expenditures of states and that could still defend our sophism as an econometrics and social discourse that uses some intuitive assumptions allowed for a critical word.