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Question 9 of 25 a bookstore costs $105 a day to keep open, and it spends $12 for each book that it sells. if each book sells for $15, what is the break-even point for this bookstore?

Sagot :

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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