Question: A closed rectangular box is to be constructed with one side 1 meter long. The material for the top costs $20 per square meter, and

A closed rectangular box is to be constructed with one side 1 meter long. The material for the top costs $20 per square meter, and the material for the sides and bottom costs $10 per square meter. Find the dimensions of the box with the largest possible volume that can be built at a cost of $240 for materials.

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