Answer
$500$ computer boards;
\$30,000
Work Step by Step
Equating the cost expression, $C=50x+5000$, and the revenue expression, $60x,$ then the number of computer boards, $x$, to break even is
\begin{array}{l}\require{cancel}
50x+5000=60x
\\\\
50x-60x=-5000
\\\\
-10x=-5000
\\\\
x=\dfrac{-5000}{-10}
\\\\
x=500
.\end{array}
Hence, $\text{
$500$ computer boards
}$ are needed to be sold to break even.
Substituting $x=500$ in the cost expression, then the amount needed to produce the break-even number of boards is
\begin{array}{l}\require{cancel}
50(500)+5000
\\\\=
25000+5000
\\\\=
30,000
.\end{array}
Hence, $
\$30,000
$ is needed.
