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Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to...

Minimizing Heating and Cooling Costs A building in the shape of a rectangular box is to have a volume of 6,144 ft3 (see the figure). It is estimated that the annual heating and cooling costs will be $2/ft2 for the top, $4/ft2 for the front and back, and $3/ft2 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? The base of a rectangular building has a width x and a length y. The building has height z.

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