A Rectangular Box Having a Top and a Square Base

question 42

Essay

A rectangular box having a top and a square base is to be constructed at a cost of $1. If the material for the bottom costs $0.35 per square foot, the material for the top costs $0.15 per square foot, and the material for the sides costs $0.20 per square foot, find the dimensions and volume of the box of maximum volume that can be constructed.

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Definitions:

Stable National Government

A government that is consistently able to provide services, enforce laws, and maintain order without frequent changes or interruptions.

Economy

The system of production, distribution, and consumption of goods and services within a particular society or geographical area.

American Economy

The economic system of the United States, characterized by a mixture of private and public enterprises.

Commercial Manufacturing

Commercial manufacturing refers to the large-scale production of goods typically utilizing machinery in factories, aimed at supplying a wide market.