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

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) $C ( x ) = 4 x + \frac { 2144 } { x ^ { 2 } }$

Correct Answer:

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