Find Two Positive Real Numbers Whose Product Is a Maximum $128,8$

question 233

Multiple Choice

Find two positive real numbers whose product is a maximum and whose sum of the first number and four times the second is 160.

• A) \(128,8\)
• B) \(88,18\)
• C) \(80,20\)
• D) \(96,16\)
• E) \(56,26\)

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Definitions:

Optimum Efficiency

The most favorable condition for the maximal performance and least waste of resources.

Marginal Revenue

The financial gain achieved through the sale of one more unit of a good or service.

Average Total Cost

The cost per unit of output, calculated by dividing the total cost of production by the total quantity of output.

Marginal Cost

The cost added by producing one additional unit of a product or service, crucial for making efficient production and pricing decisions.