Question: A closed rectangular container with a square base is to be made with two kinds material: The material for the top and bottom of

A closed rectangular container with a square base is to be made with two kinds material: The material for the top and bottom of the container will cost $2 per ft2, and the material for the sides will cost $3 per ft2. Find the dimensions of the container with greatest volume if the total cost of material is $2700. What is the greatest volume?

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