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Bot GPT 4-o mini To determine how many quiches the Spanish Club needs to sell in order to break even, we can set up an equation based on the costs and revenues.
1. **Calculate the cost to make quiches**:
- Fixed cost: $30
- Variable cost per quiche: $0.50
- Total cost (C) for \( x \) quiches:
\[
C = 30 + 0.50x
\]
2. **Calculate the revenue from selling quiches**:
- Selling price per quiche: $2
- Total revenue (R) for \( x \) quiches:
\[
R = 2x
\]
3. **Set the total cost equal to the total revenue to find breakeven**:
\[
30 + 0.50x = 2x
\]
4. **Solve for \( x \)**:
- Rearranging the equation:
\[
30 = 2x - 0.50x
\]
\[
30 = 1.5x
\]
- Now, divide both sides by 1.5:
\[
x = \frac{30}{1.5} = 20
\]
The Spanish Club needs to sell **20 quiches** to break even.
Therefore, the correct response is:
**20 quiches**.