1. **State the problem:** We need to find the number of bookmarks, $n$, that must be sold for the school group to break even. This means the revenue equals the total cost.
2. **Write the given functions:**
- Revenue function: $R(n) = 2n$
- Cost function: $C(n) = 144 + 0.80n$
3. **Set up the break-even equation:**
$$R(n) = C(n)$$
$$2n = 144 + 0.80n$$
4. **Solve for $n$:**
Subtract $0.80n$ from both sides:
$$2n - 0.80n = 144$$
$$1.20n = 144$$
5. **Isolate $n$ by dividing both sides by 1.20:**
$$n = \frac{144}{1.20}$$
6. **Calculate the value:**
$$n = 120$$
**Answer:** The school group needs to sell **120 bookmarks** to break even.
Break Even 9E7988
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