The following table shows the millions of individuals, ages 15 to 59, in China's labor pool for

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The following table shows the millions of individuals, ages 15 to 59, in China's labor pool for selected years from 1975 and projected to 2050.

(a) Find the cubic function L(t) that best models the size of this labor pool, where t is the number of years after 1970. Report the model with three significant digit coefficients.

(b) Use the reported model to estimate the maximum size of this labor pool before it begins to shrink and the year when the maximum occurs.

Labor Pool Labor Pool Year (millions) Year (millions) 1975 2015 490 920 1980 560 2020 920 1985 650 2025 905 730 2030 199
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