Question: A shipping company must design a closed rectangular shipping crate with a square base. The volume is45000ft345000ft3. The material for the top and sides costs$3$3per

A shipping company must design a closed rectangular shipping crate with a square base. The volume is45000ft345000ft3. The material for the top and sides costs$3$3per square foot and the material for the bottom costs$7$7per square foot. Find the dimensions of the crate that will minimize the total cost of material.A shipping company must design a closed rectangular shipping crate with a square base. The volume is45000ft345000ft3. The material for the top and sides costs$3$3per square foot and the material for the bottom costs$7$7per square foot. Find the dimensions of the crate that will minimize the total cost of material.

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