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The operating rate expressed as a percent of factories

Question: The operating rate (expressed as a percent) of factories, mines, and utilities in a certain region of the country on the tth day of 2008 is given by the function

f(t) = 80 + 1200t/(t² + 40,000) (0 ≤ t ≤ 250)

On which of the first 250 days of 2008 was the manufacturing capacity operating rate highest?

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Mathematics: The operating rate expressed as a percent of factories

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