A Building in the Shape of a Rectangular Box Is

question 77

Multiple Choice

A building in the shape of a rectangular box is to have a volume of 6,000ft³ (see the figure) . It is estimated that the annual heating and cooling costs will be $2/square foot for the top, $3/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) ? ​ ​

• A) x = 30; y = 20; z = 10; C = 3,500
• B) x = 20; y = 30; z = 30; C = 3,500
• C) x = 30; y = 20; z = 20; C = 3,600
• D) x = 20; y = 30; z = 10; C = 3,600

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Definitions:

Point Of Insertion

A specific location where something is to be inserted, often used in surgical or medical contexts to designate where tools, implants, or other items are introduced into the body.

Muscle

A tissue in the body capable of contracting, which enables movement of the body and maintenance of posture.

Arytenoid

A pair of cartilages located in the larynx, to which the vocal cords are attached, playing a key role in speech and breathing.

Cricothyroid

Relating to the cricothyroid muscle or membrane, involved in the regulation of voice pitch.