A Building in the Shape of a Rectangular Box Is

question 32

Short Answer

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, $5/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(C)?
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Definitions:

Mathematical Models

Abstractions and representations of real-world systems through mathematical expressions to predict and analyze their behavior.

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Collected data from past events and trends used to analyze and predict future outcomes or behaviors.

Business Cycle

The fluctuations in economic activity that an economy experiences over a period of time, characterized by periods of expansion and recession.

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The rate at which the general level of prices for goods and services is rising, indicating the purchasing power of currency is falling.