A Building in the Shape of a Rectangular Box Is

question 170

Multiple Choice

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:

Dependent Variable

The variable in an experiment that is expected to change as a result of manipulations made to the independent variable.

Predictor Variable

A variable that is used in statistical models to predict the outcome of a response variable.

Correlations

A statistical measure that indicates the extent to which two or more variables fluctuate together, showing the strength and direction of a relationship between them.

Absolute Values

The non-negative value of a number regardless of its sign; it represents the distance of a number on the number line from zero.