A company is planning to make a new kind of radio. The cost to produce x radios is C(x) = 80,000 + 10x. Meanwhile, the revenue earned by selling x radios is given by R(x) = 18x. If R < C, the company loses money. At what level of production does this happen?

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11-05-2014
Mathematics

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A company is planning to make a new kind of radio. The cost to produce x radios is C(x) = 80,000 + 10x. Meanwhile, the revenue earned by selling x radios is given by R(x) = 18x. If R < C, the company loses money. At what level of production does this happen?

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Kate200468idn Kate200468idn · Answer 1 · 2014-05-11T20:12:37-04:00

Kate200468idn Kate200468idn

11-05-2014

[tex]C(x) = 80,000 + 10x\ \ \ \wedge\ \ \ R(x) = 18x\\\\R < C\ \ \ \Leftrightarrow\ \ \ \ 18x<80,000+10x\\ \\8x<80,000\ /:8\\ \\x<10,000\\ \\Ans.\ The\ company\ loses\ money\ at\ level\ of\ production\ 10,000\ radios.[/tex]

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