A Box Is to Be Made from a Rectangular Piece $$V = x ( 28 - 2 x ) ( 54 - 2 x )$$

question 212

Multiple Choice

A box is to be made from a rectangular piece of cardboard by cutting a square from each corner and folding up the sides. The rectangular piece of cardboard is originally 28 inches long and 54 inches wide, and the squares
Removed from the corners are x inches wide. The volume of the box is given by the function $$V = x ( 28 - 2 x ) ( 54 - 2 x )$$ What restrictions must be placed on x to satisfy the conditions of this model? In other
Words, what is the domain of this function?

• A) \(x > 14\)
• B) \(0 < x < 27\)
• C) \(0 < x < 14\)
• D) \(x > 0\)

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Definitions:

Fixed Asset

A long-term tangible piece of property or equipment that a firm owns and uses in its operations to generate income, not expected to be consumed or converted into cash within a year.

Useful Life

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Present Value Factor

A multiplier used to determine the present value of a future amount of money or stream of cash flows given a specific discount rate.

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