Solve
-Find Two Numbers Whose Sum Is 120 and Whose $x$

question 69

Multiple Choice

Solve.
-Find two numbers whose sum is 120 and whose product is as large as possible. [Hint: Let $x$ and $120 - x$ be the two numbers. Their product can be described by the function $f ( x ) = x ( 120 - x )$ .]

• A) 60 and 180
• B) \(\frac { 1 } { 60 }\) and \(\frac { 13 } { 60 }\)
• C) 59 and 61
• D) 60 and 60

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Definitions:

Contribution Margin

The amount by which a product's sales revenue exceeds its variable costs, indicating how much contributes to covering fixed costs and generating profit.

Production Capacity

The maximum amount of goods or services that can be produced in a given period under normal working conditions.

Lost Contribution Margin

The amount of contribution margin that is not realized due to not selling a product or service, often calculated as the sales price minus variable costs for the unsold units.

Commercial Security Division

A branch within a corporation focused on providing security services and solutions to businesses and commercial properties.