An Open Box Is to Be Made from a Square $66 \text { inches }$

question 71

Multiple Choice

An open box is to be made from a square piece of cardboard, $66 \text { inches }$ on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below) .After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.

• A) \(22 ^ { \prime \prime } \times 22 ^ { \prime \prime } \times 11 ^ { \prime \prime }\)
• B) \(44 ^ { \prime \prime } \times 44 ^ { \prime \prime } \times 11 ^ { \prime \prime }\)
• C) \(44 ^ { \prime \prime } \times 44 ^ { \prime \prime } \times 22 ^ { \prime \prime }\)
• D) \(33 ^ { \prime \prime } \times 33 ^ { \prime \prime } \times 22 ^ { \prime \prime }\)
• E) \(11 ^ { \prime \prime } \times 11 ^ { \prime \prime } \times 5.5 ^ { \prime \prime }\)

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Definitions:

Net Operating Income

A company's revenue minus its operating expenses, not including taxes and interest expenses. It indicates the profitability from regular operations.

Income Statement

A financial statement that shows a company's revenues, expenses, and net income over a specific period.

Segment Margin

The amount of profit or loss generated by a specific division or segment of a company, expressed as a percentage of its revenues, highlighting the segment's operational efficiency and profitability.

Segmented Income Statement

An income statement broken down into segments such as product lines, geographical locations, or departments, to analyze performance.