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A zookeeper is designing a rectangular pen for a lion. The area contained in this pen...

A zookeeper is designing a rectangular pen for a lion. The area contained in this pen must be exactly 40 square meters. One wall of this pen must be made of sturdy glass, and sturdy glass walls cost 300 dollars per meter. The other three walls must be made of brick, and brick walls cost 250 dollars per meter. (a) How many meters should the glass wall be to minimize the total cost of the walls of the pen? (b) What is the minimal cost?

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