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Minimizing heating and cooling costs a building in the

Question: MINIMIZING HEATING AND COOLING COSTS A building in the shape of a rectangular box is to have a volume of 12,000 ft³ (see the figure). It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $4/square foot for the front and back, and $3/square foot for the sides. Find the dimensions of the building that will result in a minimal annual heating and cooling cost. What is the minimal annual heating and cooling cost?

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