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?

Respuesta :

After selling 35 books, the store will break-even.

Step-by-step explanation:

Given,

Cost required per day to keep store open = $105

Amount spent on each book = $12

Let,

n be the number of books.

Total costs = 12n + 105

Selling price of each book = $15

Total revenue = 15n

For braking even;

Costs = Revenue

[tex]12n+105=15n\\105=15n-12n\\105=3n\\3n=105[/tex]

Dividing both sides by 3

[tex]\frac{3n}{3}=\frac{105}{3}\\n=35[/tex]

After selling 35 books, the store will break-even.

Keywords: revenue, cost, division

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