A Piece of Cardboard Is Twice as Long as It $V ( x ) = 10 x ^ { 2 } - 75 x + 125$

question 504

Multiple Choice

A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 5 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard.
Determine a function V that represents the volume of the box in terms of x.

• A) \(V ( x ) = 10 x ^ { 2 } - 75 x + 125\)
• B) \(V ( x ) = 10 x ^ { 2 }\)
• C) \(V ( x ) = 5 x ^ { 2 } - 100 x + 500\)
• D) \(V ( x ) = 10 x ^ { 2 } - 150 x + 500\)

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Definitions:

Unit Product Cost

The total cost to produce one unit of product, including direct material, direct labor, and manufacturing overhead.

Income Statement

A financial statement that shows a company's revenues and expenses over a specific period, detailing how net revenue is transformed into net earnings.

Variable Costing

An accounting method that only includes variable production costs (costs that change with the level of output) in product costs.

Direct Labor Cost

The cost of wages and other benefits for workers directly involved in the production process.