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The problem is asking how many books a publishing company must produce and sell so that the production costs equal the money from sales.

### Given Information:
- **Fixed Costs**: $34,335 (these are one-time costs, such as editing)
- **Variable Costs per Book**: $10.75 (this covers printing and other costs that vary with the number of books)
- **Selling Price per Book**: $19.50

### Let the number of books produced and sold be $ x $.

1. **Total Cost**: The total cost is the sum of the fixed costs and the variable costs for $ x $ books:
   \[
   \text{Total Cost} = 34,335 + 10.75x
   \]

2. **Total Revenue**: The total revenue from selling $ x $ books is the selling price multiplied by the number of books:
   \[
   \text{Total Revenue} = 19.50x
   \]

3. **Break-even Condition**: The publisher breaks even when the total cost equals the total revenue:
   \[
   34,335 + 10.75x = 19.50x
   \]

Now, I'll solve for $ x $.It seems like I can’t do more advanced data analysis right now. Please try again later. 

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Here are 5 related questions for further practice:
1. What if the fixed costs were reduced by 10%? How would that affect the break-even point?
2. If the selling price per book increased to $22, how would that change the number of books needed to break even?
3. How many books must be sold to generate a profit of $10,000 above the break-even point?
4. What happens if variable costs per book increase by $2? How would that impact the break-even calculation?
5. If the publisher wants to cover costs and make a $5,000 profit, how many books must be sold?

**Tip**: Break-even analysis is often used by businesses to determine pricing strategies and production efficiency.

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $34,335. The variable costs will be $10.75 per book. The publisher will sell the finished product to bookstores at a price of $19.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Learn how to calculate the break-even point for a small publishing company. The fixed costs are $34,335, the variable cost per book is $10.75, and the selling price is $19.50 per book. This step-by-step guide covers key algebraic concepts and break-even analysis.

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