Solve the Problem $C ( x ) = 3 x ^ { 2 } + \frac { 1072 } { x }$

question 157

Multiple Choice

Solve the problem.
-A rectangular box with volume 268 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the
Base. Express the cost the box as a function of x.

• A) \(C ( x ) = 3 x ^ { 2 } + \frac { 1072 } { x }\)
• B) \(C ( x ) = 3 x ^ { 2 } + \frac { 2144 } { x }\)
• C) \(C ( x ) = 2 x ^ { 2 } + \frac { 2144 } { x }\)
• D) \(C ( x ) = 4 x + \frac { 2144 } { x ^ { 2 } }\)

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Definitions:

Swollen and Warm

Describes tissues that are enlarged due to inflammation or fluid accumulation and feel warmer than the surrounding areas, indicating a potential infection or injury.

Orthopnea

Abnormal condition in which a person must sit or stand to breathe comfortably.

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Adventitious lung sound caused by inflamed parietal and visceral pleura rubbing together on inspiration.

Crackles

Fine bubbling sounds heard on auscultation of the lung; produced by air entering distal airways and alveoli, which contain serous secretions.