A rectangular building is to be constructed of material that costs $31 per square foot for the

Question:

A rectangular building is to be constructed of material that costs $31 per square foot for the roof, $27 per square foot for the sides and the back, and $55 per square foot for the facing and glass used in constructing the front. If the building is to have a volume of 16,000 ft3, what dimensions will minimize the total cost of construction?

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