Solve
-A Rectangular Box with Volume 400 Cubic Feet Is $C ( x ) = 4 x + \frac { 3200 } { x ^ { 2 } }$

question 70

Short Answer

Solve.
-A rectangular box with volume 400 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)
$C ( x ) = 4 x + \frac { 3200 } { x ^ { 2 } }$
B) $$C ( x ) = 3 x ^ { 2 } + \frac { 3200 } { x }$$
C)
$C ( x ) = 2 x ^ { 2 } + \frac { 3200 } { x }$
D)
$C ( x ) = 3 x ^ { 2 } + \frac { 1600 } { x }$

• A)
• \(C ( x ) = 4 x + \frac { 3200 } { x ^ { 2 } }\)
• B) \[C ( x ) = 3 x ^ { 2 } + \frac { 3200 } { x }\]
• C)
• \(C ( x ) = 2 x ^ { 2 } + \frac { 3200 } { x }\)
• D)
• \(C ( x ) = 3 x ^ { 2 } + \frac { 1600 } { x }\)

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Definitions:

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The quantity of goods and materials on hand at any given time within a business, crucial for fulfilling customer orders and maintaining production flow.

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Supply Chain Processes

The series of activities and operations involved in the production and distribution of a commodity, from raw materials to the final product delivery.