According to United Nations projections, the population of China (in millions) between now and 2050 is given by
y = −.00096x3 − .1x2 + 11.3x + 1274 (0 ≤ x ≤ 50),
where x = 0 corresponds to 2000. In what year will China reach its maximum population, and what will that population be?
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