When grain milling incurs a 5% loss, a nation must import 20 million sacks; however, reducing the loss to 2% lowers imports to 15 million sacks. Determine the total grain yield produced natively within the country?
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Answer: D. 166 2/3 m
Explanation
A five percent milling loss requiring twenty million import sacks establishes a proportional baseline for total grain volume. Reducing the loss to two percent lowers the required import volume to fifteen million sacks of grain. Setting up a proportional equation based on the loss percentage difference solves for the total native grain yield as one hundred sixty six and two thirds million. Grain milling losses represent the percentage of harvested crops lost during processing, cleaning, and refinement stages. Import requirements make up the deficit between total domestic food consumption demand and native agricultural production yield. Proportional reasoning allows agricultural economists to forecast import needs based on changing processing efficiency rates.
133 1/3 million underestimates the total native grain yield by miscalculating the proportional difference in loss rates. 150 million is mathematically inconsistent with the exact reduction in import volume achieved by lowering the loss percentage. 106 2/3 million is too low and fails to satisfy the proportional equation linking milling loss to import quantities.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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