Solve the Problem $\mathrm { C } ( \mathrm { x } ) = 30 \mathrm { x } + 15,000$

question 197

Multiple Choice

Solve the problem.
-A company that produces radios has costs given by the function $\mathrm { C } ( \mathrm { x } ) = 30 \mathrm { x } + 15,000$ , 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 $\bar { C } ( \mathrm { x } ) = \frac { 30 \mathrm { x } + 15,000 } { \mathrm { x } }$ . Find $\bar { C } ( 250 )$ . (Round to the nearest dollar, if necessary.)

• A) \(\$ 33\)
• B) \(\$ 120\)
• C) \(\$ 90\)
• D) \(\$ 36\)

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Definitions:

Equity Method

An accounting technique used by a parent company to record its investments in subsidiaries or affiliates based on the equity stake's pro-rata share of net assets rather than the historical cost of the investment.

Stockholders' Equity

The remaining value of a company's assets after liabilities are subtracted, indicating the stake held by shareholders.

Liabilities

Financial obligations or debts that an entity owes to external parties, which must be settled through the transfer of assets, provision of services, or other economic benefits.

Assets

Resources owned or controlled by a business, expected to produce economic value or future benefits.