Solve the Problem $C ( x ) = 25 x + 15,000$

question 465

Multiple Choice

Solve the problem.
-A company that produces computer printers has costs given by the function $C ( x ) = 25 x + 15,000$ , where $x$ is the number of computer printers manufactured and $C ( x )$ is measured in dollars. The average cost to manufacture each computer printer is given by
$$\bar { C } ( x ) = \frac { 25 x + 15,000 } { x } .$$
What is the horizontal asymptote for the function $\overline { \mathrm { C } }$ ? Describe what this means in practical terms.

• A) \(\mathrm { y } = 25\); \(\$ 25\) is the least possible cost for producing each computer printer.
• B) \(\mathrm { y } = 15,000 ; 15,000\) is the maximum number of computer printers the company can produce.
• C) \(\mathrm { y } = 25 ; 25\) is the minimum number of computer printers the company can produce.
• D) \(y = 15,000\); \(\$ 15,000\) is the least possible cost for running the company.

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