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Mathematics, 30.12.2021 01:00 kaliyab191

The material for the bottom of a rectangular box costs three times as much per square foot as the material for the sides and top. Find the greatest capacity such a box can have if the total amount of money available for material is $12. You must use the Method of LaGrange Multipliers to solve this problem or you will receive no credit for the entire problem. Approximate your final answer to three decimal places.

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