Program to find the minimum total cost for the fence, MATLAB Programming

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

140

136

130

128

122

120

(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.

2163_Program to Find the Minimum Total Cost for the Fence.png

Figure: The diagram of the fence enclosure.

Posted Date: 3/9/2013 12:32:30 AM | Location : United States







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