The total amount spent by some number of people on clothing and footwear in the years​ 2000-2009 can be modeled by the quadratic function ​f(x)=−4.381x2+71.89x+96.79​, where x=0 represents January​ 1, 2000, x=1 represents January​ 1, 2001, and so​ on, and​ f(x) is in billions of dollars. According to the​ model, in what year during this period was the amount spent on clothing and footwear a​ maximum?

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