Question: A farmer will construct a rectangular-shaped stockyard with a total area 1000 m consisting of four equal partitions (each with an area of 250

A farmer will construct a rectangular-shaped stockyard with a total area 1000

A farmer will construct a rectangular-shaped stockyard with a total area 1000 m consisting of four equal partitions (each with an area of 250 m) as shown in the figure. Assume that the material used to construct the (three) separating fences is cheaper than the material used to construct the encircling fence. So the construction cost of the separating fences if 8 $/m, while the construction cost of the encircling fence is 20 $/m. What is the optimal (lowest) total cost for the construction of all fences and for which dimensions x and y it is achieved?

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