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A fence enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure 1. The enclosure is to be built to have an area of 1600 m2. The ratio between 2R and L should be within the range of 0.3< 2R/L < 0.6 . The cost of various fence materials is listed in the following table:
Material A ($/m)
Material B ($/m)
Material C ($/m)
Material D ($/m)
Material E ($/m)
Material F ($/m)
Curved portion
120
122
130
136
140
142
Straight portion
128
(Same materials will be used for both curved and straight portions.)
Develop a Matlab program to find the minimum total cost for the fence. A resolution of 0.01 m for the values of R and L is required. A report should be completed to show problem formulation, programming procedure and result discussions.
Figure: The diagram of the fence enclosure.
Some recent column source designs incorporate ‘beam steering', where the phase of each element in the column is varied in order to change the angle at which the major lobe appears.
Ft. Loudoun and Watts Bar are two large hydroelectric dams, the former upstream of the latter. The level of Watts Bar Lake must be kept within limits for recreational purposes, and
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Illustration of script Documentation: For illustration, the script to compute the area of a circle could be modified to have comments: The first comment at the startin
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