Challenge: Calculate Regional Budget Allocations
Proportional allocation is a fundamental principle in government budgeting, ensuring that resources are distributed fairly based on criteria such as population size, need, or performance. In public sector finance, this method helps guarantee that regions with larger populations receive a greater share of the budget, reflecting their greater demand for services. By applying proportional allocation, you can support evidence-based decision-making and uphold equity in resource distribution.
12345678regions = [ {"name": "North District", "population": 120000}, {"name": "South District", "population": 80000}, {"name": "East District", "population": 100000}, {"name": "West District", "population": 60000} ] total_budget = 1000000 # Total budget to be allocated
To allocate the total budget proportionally, calculate each region's share using the formula:
region_budget = (region_population / total_population) * total_budget
First, sum the populations of all regions to get the total population. Then, for each region, divide its population by the total population to find its proportion, and multiply this by the total budget. This ensures that each region's allocation reflects its population size. After calculating allocations, verify that the sum of all regional budgets equals the total budget. If necessary, you can adjust the final allocation (such as the last region) to correct minor rounding errors, ensuring the total matches exactly.
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Write a function that allocates a fixed total budget among regions proportionally to their populations.
- Calculate the sum of all region populations.
- For each region, determine its share of the total population.
- Multiply each region's share by the total budget to determine its allocated budget.
- Ensure the sum of all allocated budgets equals the total budget.
- Return a list of dictionaries, each containing the region's name and its allocated budget.
Solution
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Proportional allocation is a fundamental principle in government budgeting, ensuring that resources are distributed fairly based on criteria such as population size, need, or performance. In public sector finance, this method helps guarantee that regions with larger populations receive a greater share of the budget, reflecting their greater demand for services. By applying proportional allocation, you can support evidence-based decision-making and uphold equity in resource distribution.
12345678regions = [ {"name": "North District", "population": 120000}, {"name": "South District", "population": 80000}, {"name": "East District", "population": 100000}, {"name": "West District", "population": 60000} ] total_budget = 1000000 # Total budget to be allocated
To allocate the total budget proportionally, calculate each region's share using the formula:
region_budget = (region_population / total_population) * total_budget
First, sum the populations of all regions to get the total population. Then, for each region, divide its population by the total population to find its proportion, and multiply this by the total budget. This ensures that each region's allocation reflects its population size. After calculating allocations, verify that the sum of all regional budgets equals the total budget. If necessary, you can adjust the final allocation (such as the last region) to correct minor rounding errors, ensuring the total matches exactly.
Swipe to start coding
Write a function that allocates a fixed total budget among regions proportionally to their populations.
- Calculate the sum of all region populations.
- For each region, determine its share of the total population.
- Multiply each region's share by the total budget to determine its allocated budget.
- Ensure the sum of all allocated budgets equals the total budget.
- Return a list of dictionaries, each containing the region's name and its allocated budget.
Solution
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