Break Even Point
1. **State the problem:** We need to find the break-even point where revenue equals cost.
2. **Define variables:** Let $x$ be the number of items.
3. **Write the revenue function:** Revenue per item is 25, so total revenue is $$R(x)=25x$$.
4. **Write the cost function:** Fixed cost is 2100 plus 10 per item, so total cost is $$C(x)=2100+10x$$.
5. **Set revenue equal to cost to find break-even:** $$25x=2100+10x$$.
6. **Solve for $x$:**
$$25x-10x=2100$$
$$15x=2100$$
$$x=\frac{2100}{15}=140$$.
7. **Find the revenue (or cost) at $x=140$:**
$$y=25\times140=3500$$.
8. **Write the break-even point as an ordered pair:**
$$(140,3500)$$.
**Final answer:** The break-even point is $(140,3500)$.