A Building in the Shape of a Rectangular Box Is

question 110

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, $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)? x = __________
y = __________
z = __________
C = __________

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Definitions:

Framing

The way information is presented or an issue is structured, which can influence perception and decision-making.

Belief Perseverance

The psychological phenomena wherein individuals maintain their beliefs despite facing contradicting evidence or facts.

Representativeness Heuristic

The representativeness heuristic is a mental shortcut that involves judging the likelihood of an event by comparing it to an existing prototype in our minds.

Belief Perseverance

The tendency to maintain one's belief even in the face of contradictory evidence.