Question: A company sells square carpets for $5 per square foot. It has a simplified manufacturing process for which all the carpets each week must be

A company sells square carpets for $5 per square foot. It has a simplified manufacturing process for which all the carpets each week must be the same size, and the length must be a multiple of a half foot. It has found that it can sell 100 carpets in a week when the carpets are 2 ft by 2 ft, the minimum size. Beyond this, for each additional foot of length and width, the number sold goes down by 6. What size carpets should the company sell to maximize its revenue? What is the maximum weekly revenue?

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