Question 74203
The break-even point is when the profit is 0. So if we set p(x)=0 we could find x
{{{0=2.25x-7000}}}
{{{7000=2.25x}}}
{{{7000/2.25=x}}}
{{{x=28000/9=3111.1111}}}
So if she sells about 3,111 units then she breaks even.
<p>
Check:
{{{p(x)=2.25x-7000}}}Plug in x=3111.11
{{{0=2.25(28000/9)-7000}}}
{{{0=7000-7000}}}
{{{0=0}}}Works



I'm assuming the function looks like
{{{C(x)=1.75x+7000}}}So just plug in 2000 for x
{{{C(2000)=1.75(2000)+7000}}}
{{{C(2000)=3500+7000}}}
{{{C(2000)=10500}}}
So it costs $10,500 to produce 2000 units.