Hwang optimization

# Hwang optimization - The pool will be surrounded by a patio...

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Holy Cross College, Fall Semester, 2003 Math 131, Professor Hwang Worksheet on Optimization 1. A rectangular box without a lid is to be made from a 24 × 36 inch piece of cardboard by removing a square from each corner and folding up the resulting Faps along the dotted lines. ±ind the size of the cutouts that maximizes the box’s volume. 36 24 2. A rectangular swimming pool is to be built with an area of 1800 square feet.
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Unformatted text preview: The pool will be surrounded by a patio of width 5 feet on each side and 10 feet at each end. ±ind the dimensions of the pool that minimize the total area of the property required. 10 5 Pool 3. A rectangle in inscribed in a semicircle of radius 1. ±ind the dimensions that maximize the area of the rectangle....
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