Solve the Problem $x$ Represent the Length of a Side of Each Such Square

question 392

Multiple Choice

Solve the problem.
-A rectangular piece of cardboard measuring 29 inches by 50 inches is to be made into a box with an open top by cutting equal size squares from each corner and folding up the sides. Let $x$ represent the length of a side of each such square. What is the maximum volume of this box? If necessary, round to 2 decimal places.

• A) \(68,059.95 \mathrm { in } ^ { 3 }\)
• B) \(2214.64 \mathrm { in } ^ { 3 }\)
• C) \(299.58 \mathrm { in } ^ { 3 }\)
• D) \(3876.57 \mathrm { in } ^ { 3 }\)

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Definitions:

Import Tariffs

Taxes imposed by a government on goods and services imported from other countries to protect domestic industries from foreign competition.

Quotas

Quotas are government-imposed trade restrictions that limit the number or monetary value of goods that can be imported or exported during a specific time period.

Politically Influential

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Import Protections

Measures such as tariffs and quotas that countries implement to protect their domestic industries from foreign competition.