Find a mathematical model for the verbal statement: 
Definitions:
Poverty Rate
The percentage of the population that lives below the national poverty line, reflecting the proportion of the population experiencing poverty.
Income Redistribution
Economic policies or mechanisms designed to transfer income and wealth from certain individuals or groups to others to achieve social or economic objectives.
Total Utility
The total satisfaction or benefit received by consuming a certain amount of a good or service.
Female Poverty Rate
The percentage of females living below the poverty line in a given region.
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