Optimal Resource Allocation in Romanian Farms- analysis of the Mathematical Correlation Between Nitrogen-based Chemical and Corn

The paper aims to show the value in-depth case studies in determining resource allocation. This paper seeks to address the following question: How can the optimal quantity of chemicals be determined so as to lead to higher production and profit? In order to answer this question, a piece of research was carried out on the statistics of production functions. The objectives of this research are to: describe the type of farms and their management in order to establish the ability to apply production factors; describe the types of factors and their influence on the farms economy; identify the mathematical connection between two variables (one factor and one product); find optimal solution. The research will focus on the analysis and role of a case study in determining best relationship between nitrogen based chemicals and corn production. The link between nitrogen-based chemicals and average corn production will be established, alongside maximum hectare crops and maximum profits in relation to the use of particular chemical doses. An optimal zone where these indicators are related will be identified. Beyond that level, increased doses will lead to diminished production and increased costs.