Find Three Positive Numbers Whose Sum Is $291$ And Whose Product Is a Maximum

question 3

Multiple Choice

Find three positive numbers whose sum is $291$ and whose product is a maximum.

• A) \(x = y = z = 97\)
• B) \(x = 109 , y = 99 , z = 89\)
• C) \(x = 100 , y = 108 , z = 89\)
• D) \(x = 99 , y = z = - 99\)
• E) \(x = 129 , y = 79 , z = 89\)

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Definitions:

Industrial Countries

Nations characterized by a significant level of manufacturing activity, advanced technological infrastructure, and a high standard of living.

Less Developed Countries

Nations with a lower standard of living, underdeveloped industrial base, and low Human Development Index relative to other countries.

Welfare Dependency

A situation where individuals or families rely primarily on government benefits for their income over an extended period, often leading to limited financial self-sufficiency.

Poverty

A condition where individuals lack sufficient financial resources to meet basic living expenses such as food, shelter, and clothing.