A Box with an Open Top Is to Be Constructed

question 75

Multiple Choice

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 inches by 29 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure.
Express the volume V of the box as a function of x.

• A) V(x) = x(12 - x)(29 - x)
• B) V(x) = (12 - x)(29 - x)
• C) V(x) = (12 - 2x)(29 - 2x)
• D) V(x) = x(12 - 2x)(29 - 2x)

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Definitions:

Absolute Disadvantage

A situation where an individual, country, or company is less efficient in producing goods or services compared to another.

Opportunity Cost

The rejection of advantageous prospects from other paths when one path is chosen.

Free Trade

The absence of restrictions or tariffs on the import and export of goods and services between countries, allowing for the unimpeded flow of goods, services, and capital.

Consumption

Consumption denotes the use of goods and services by households, which plays a crucial role in the economic cycle by driving demand and influencing production.