Question: A shipping company must design a closed rectangular shipping crate with a square base. The volume is 12800ft312800ft3. The material for the top and sides

A shipping company must design a closed rectangular shipping crate with a square base. The volume is 12800ft312800ft3. The material for the top and sides costs $5$5 per square foot and the material for the bottom costs $11$11 per square foot. Find the dimensions of the crate that will minimize the total cost of material.

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