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From a Tract of Land, a Developer Plans to Fence

question 149

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From a tract of land, a developer plans to fence a rectangular region and then divide it into two identical rectangular lots by putting a fence down the middle. Suppose that the fence for the outside boundary costs $6 per foot and the fence for the middle costs $4 per foot. If each lot contains 4,600 square feet, find the dimensions of each lot that yield the minimum cost for the fence. Round your answer to two decimal places. ​​

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Definitions:

Marxist Socialists

Ideologists who follow the teachings of Karl Marx, advocating for a society without classes where the means of production are owned collectively.

Reform Socialists

Advocates a peaceful, evolutionary transition of society to socialism through legal and political reforms rather than revolutionary upheaval.

Anarchism

A political philosophy that advocates self-governed societies based on voluntary, cooperative institutions and the rejection of all involuntary, coercive forms of hierarchy.

Bakunin

Mikhail Bakunin was a Russian revolutionary anarchist, socialist and founder of collectivist anarchism.

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