Answer
$625$ units
Work Step by Step
Given,
$C(x) = 30x+10000$
$R(x) = 46x$
To find break-even point,
$C(x) = R(x) $
$ 30x+10000 = 46x$
$ 10000 = 46x -30x$
$ 10000 = 16x$
$x = \frac{10000}{16}$
$x = 625$
$625$ units must be sold to break-even.