Operations Research Question

"The Gini coefficient measures the inequality among values of a frequency distribution (for example, levels of income). A Gini coefficient of zero expresses perfect equality." (Wikipedia) To achieve equity, a fundraiser decides to donate $100,000 among 3 regions. According to a detailed analysis of the regions, the demand and need of each region are as follows: $70,000, $50,000 and $80,000. The fundraiser wants to determine the exact amount of money to donate to each region to achieve the best possible value of the Gini coefficient while satisfying at least 10% of the demand of each region. While calculating the Gini coefficient, the fundraiser wants to measure the inequality among values of donation amount in proportion to the respective demand. Below, you may find the formula to calculate the Gini function, where n is the number of regions. Formulate an NLP. Gini coefficient = --2; 2n M "The Gini coefficient measures the inequality among values of a frequency distribution (for example, levels of income). A Gini coefficient of zero expresses perfect equality." (Wikipedia) To achieve equity, a fundraiser decides to donate $100,000 among 3 regions. According to a detailed analysis of the regions, the demand and need of each region are as follows: $70,000, $50,000 and $80,000. The fundraiser wants to determine the exact amount of money to donate to each region to achieve the best possible value of the Gini coefficient while satisfying at least 10% of the demand of each region. While calculating the Gini coefficient, the fundraiser wants to measure the inequality among values of donation amount in proportion to the respective demand. Below, you may find the formula to calculate the Gini function, where n is the number of regions. Formulate an NLP. Gini coefficient = --2; 2n M