Abstract
In this paper, we present a function for the share of factors of output, which is in complete agreement with primary production theories in microeconomics. We follow some assumptions for production function, and also payment to each factor equals their marginal products, and we create a new production function which is called the efficient production function. We then try not only to remove the significant defects in Cobb-Douglas production function but also by accept the presented theory. We conclude that the need for most previous approaches have caused problems and even the developed functions have not been able to solve the problem. The presented model in complete agreement is also supported by the empirical findings for the United States (U.S.) economy.
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