A Rectangular Box Is to Have a Square Base and a Volume

question 73

Multiple Choice

A rectangular box is to have a square base and a volume of 32 . If the material for the base costs 10 cent/square foot, the material for the sides costs 30 cent/square foot, and the material for the top costs 20 cent/square foot, determine the dimensions of the box that can be constructed at minimum cost.

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Definitions:

Centrally Planned Economy

An economic system where the government or central authority makes all decisions about the production and distribution of goods and services.

Market Economy

An economic system where supply and demand from consumers and businesses drive the production of goods and services and set prices.

Produce

To create, manufacture, grow, or bring into existence goods or services.

Socialist Country

A nation where the government owns and controls major industries and resources, aiming to distribute wealth and opportunities more evenly.