The store will break even after selling 35 books.
What is the break-even point?
- The break-even point is the moment at which total cost and total revenue are equal, implying that your small firm has no loss or benefit.
- In other words, you've reached the point where the costs of production equal the revenues for a product.
To find what is the break-even point for this bookstore:
Given:
- The cost required per day to keep the store open = $105
- Amount spent on each book = $12
Let, n be the number of books.
Total costs = 12n + 105
The selling price of each book = $15
Total revenue = 15n
For breaking even, costs = revenue.
- 12n + 105 = 15n
- 105 = 15n - 12n
- 105 = 3n
- 3n = 105
- Dividing both sides by 3:
- 3n/3 = 105/3
- n = 35
Therefore, the store will break even after selling 35 books.
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