A Building in the Shape of a Rectangular Box Is

question 88

Essay

A building in the shape of a rectangular box is to have a volume of (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 $2/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(C)?

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Definitions:

Credit

The right side of an account.

Accumulated Amortization

The cumulative amount of amortization expense that has been recorded against an intangible asset.

Depletion

The allocation of the cost of a natural resource to expense in a rational and systematic manner over the resource’s useful life.

Natural Resources

Materials or substances occurring in nature which can be exploited for economic gain, such as minerals, forests, water, and fertile land.