HW oct 23, 7og Name: Cisselle Washington Optimization problems Date: Period: A man launches his boat froma point on the bank of a straight, rectangular lake. The man can row at the rate of 6 mi/hr and can run at 8 mi/hr. He wants to reach a point 8 miles downstream and on the other bank (point B). The river is 3 miles wide. Assume the speed of the water is negligible. He could row directly across the lake (point D) and run down the bank or he could row directly to the point B across the lake or he could row to a point somewhere in the middle (C) and run the rest of the way. How can he reach point B in the least time? Find the area of the largest rectangle that can be inscribed in an equilateral triangle

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