Problema Solution

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?

Answer provided by our tutors

R < C


Plug C(x) = 80,000 + 10x and R(x) = 18x into the last inequality:


18x < 80000 + 10x

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x < 10,000


The company losses money if it is producing less than 10,000 radios.