A group of hikers uses a GPS while doing a 40-mile trek in Colorado. A curve fit to the data shows that their altitude can be approximated by the function y(t)=0.12t5−6.75t4+135t3−1120t2+3200t+9060 where y and t are expressed in feet and hours, respectively. During the 18-hour hike, determine the maximum altitude that the hikers reach.

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