$\text { An open box of maximum volume is to be made from a square piece of material } 22$

question 113

Multiple Choice

$\text { An open box of maximum volume is to be made from a square piece of material } 22$
centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure) . Write the volume $V \text { as a function of } x \text {, the length of the corner squares. }$

• A) \(V = x ( 22 - 2 x ) ^ { 2 }\)
• B) \(V = x + ( 22 - x ) ^ { 2 }\)
• C) \(V = x ^ { 2 } + ( 22 - 2 x )\)
• D) \(V = x ^ { 2 } ( 22 - 2 x )\)
• E) \(V = x ( 22 - 2 x )\)

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Definitions:

Equilibrium Quantity

The quantity of goods or services supplied is exactly equal to the quantity demanded at the market price.

Market Demand

The total quantity of a good or service that all consumers in a market are willing and able to purchase at a given price.

Tax Revenue

Income that is gained by governments through taxation, used to fund public services and government obligations.

Demand Curve

A graphical representation of the relationship between the price of a good and the quantity demanded, typically downward sloping to the right.