Write a coherent report of your solutions using a typesetting program (Word, Notes, etc.). You must upload your file in the Show My Work section of the question. Your report should include the following: Introduction: Describe the purpose and problem statement of this project. Explain mathematically how the provided data was used to arrive at your final results. Graph the Model: Use a graphing utility to represent the model and include a screenshot of your graph. Mathematical Calculation: Your report should include step by step mathematical calculation using appropriate notation correctly. Incorporates calculus content consistently and effectively throughout the report. Analysis of Data: For this part, provide supporting solutions and calculus terms to explain how you reached your answers. Also, explain in detail what your answer represents in a real-world situation and why this is useful. Organization: Develop a nice flow of information that is organized and easy to follow. Express your thorough knowledge and understanding of the material presented in the project. Economists use Lorenz curves to illustrate the distribution of income in a country. Letting x represent the percent of families in a country and y the percent of total income, the model y= xwould represent a country in which each family had the same income. The Lorenz curve, y = f{x), represents the actual income distribution. The area between these two models, for Osx < 100, indicates the "income inequality" of a country. In 2005, the Lorenz curve for a country could be modeled by y = (0.00048x+ 0.052x), 0