A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of
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A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure P20. The enclosure is to be built to have an area A of 1600 ft2. The cost of the fence is $40/ft for the curved portion and $30/ft for the straight sides. Use the min function to determine with a resolution of 0.01 ft the values of R and L required to minimize the total cost of the fence. Also compute the minimum cost.
Figure P20
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The area of the fenced enclosure is given by A L2R R2 Since the area is given to be 1600 ft2 we can ...View the full answer
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