A Building in the Shape of a Rectangular Box Is

question 149

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, $7/square foot for the front and back, and $6/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:

Equilibrium

Equilibrium is the state in a market where the quantity supplied equals the quantity demanded, resulting in market stability and no incentive for price changes.

Minimum Wage

The lowest legally permissible wage that employers can pay their employees, intended to protect workers from unduly low pay.

Labor Shortage

A situation in which employers are unable to fill vacancies with qualified candidates, often due to a lack of available workers or skills in the labor market.

Worker Hours

The amount of time that employees spend working during a given period, often measured in hours per week or month.