Abstract - The production function refers to the mathematical relationship that shows how the input is converted to output. It is based on the assumption of economic efficiency, that is to achieve the maximum amount of output through the quantity of inputs given. As long as the industrial production technique is known, The increase in any mixture of inputs inevitably leads to an increase in production. This function shows the different stages of production and the contribution of each element of production during the production process, which helps in raising the total production volume. Is to increase the volume of production as well as to diversify that production, it requires the use of a combination of different production elements according to a particular technical method through which to find the best combination of the compatibility of the inputs and outputs of production and given the importance and role of the production function as it is to determine the quantity and form of production Many researchers were interested in studying and analyzing production functions in different projects and analyzed their components. The production function occupies great importance in large and medium industrial projects and establishments due to the competition between these establishments in achieving the best products at the lowest cost. Its position in the market It is known that the enterprises that have the largest share in the markets are the ones that have the best combination among the different production elements. It is no secret to us today that the industrial establishments, whether large or medium or even small, contribute to the gross domestic product These facilities are one of the most important sources of financing for development. However, it is important to note that the facilities of large industries in Iraq suffer from neglect, especially after 2003.
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