A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point for this bookstore?

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asked Jun 25, 2021 78.5k views

2 Answers

Martin Perry · Answer 1 · 2021-06-28T22:53:00+0000

Answer: The break even point is when they have sold 16 books and have made $288

Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.

The earnings are modeled by he equation y = 18x.

Substitute 18x for y and solve for x.

18x = 12x + 96 Subtract 12x from both sides.

6x = 96 Divide both sides by 6

x = 16

Substitute into the original equations to solve for y

y = 12(16) + 96

y = 192 + 96

Y = 288

y = 18(16)

y = 288