Solve the Problem $\bar { C } ( x ) = \frac { 25 x + 25,000 } { x }$

question 52

Multiple Choice

Solve the problem.
-A company that produces radios has costs given by the function C(x) = 25x + 25,000, where x is the number of radios manufactured and C(x) is measured in dollars. The average cost to manufacture each radio is given by $\bar { C } ( x ) = \frac { 25 x + 25,000 } { x }$ . Find $\bar { C } ( 50 )$ . (Round to the nearest dollar, if necessary.)

• A) \(\$ 75\)
• B) \(\$ 525\)
• C) \(\$ 74\)
• D) \(\$ 535\)

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Definitions:

Borrow

The act of obtaining or receiving something with the intention of returning it or its equivalent.

Pay Back

A financial metric used to evaluate the time required to recoup the cost of an investment, gauging its profitability.

Directed Effort

Focused work or activities aimed at achieving a specific goal or objective.

Goal

A specific, measurable, attainable, relevant, and time-bound objective that guides planning and effort in projects or endeavors.